EÜFBED - Fen Bilimleri Enstitüsü Dergisi Cilt-Sayı: 3-2 Yıl:
|
|
|
- Emerald Henry
- 5 years ago
- Views:
Transcription
1 63 EÜFBED - Fen Bilimleri Ensiüsü Dergisi Cil-Syı: 3- Yıl: 63-7 SOME INEQUALITIES OF HERMITE-HADAMARD TYPE FOR FUNCTIONS WHOSE DERIVATIVES ABSOLUTE VALUES ARE QUASI-CONVEX TÜREVİNİN MUTLAK DEĞERİ QUASI-KONVEKS OLAN FONKSİYONLAR İÇİN BAZI HERMITE-HADAMARD TİPİ EŞİTSİZLİKLER Çein YILDIZ * Ahme Selçk AKDEMİR ve Merve AVCI Aürk Universiy KK Ecion Fcly Dermen o Mhemics 54 Erzrm TURKEY Ağrı İrhim Çeçen Universiy Fcly o Science nd Ars Dermen o Mhemics Ağrı TURKEY ABSTRACT Geliş Trihi: Hzirn Kl Trihi: Arlık In his er we eslish some esimes o he righ hnd side o Hermie-Hdmrd ye ineliy or ncions whose derivives sole vles re si-conve Key words: Qsi-conve ncions hölder ineliy ower men ineliy ÖZET B mklede ürevlerinin mlk değeri si-konveks oln onksiyonlr için Hermie-Hdmrd ii eşisizliklerin sğ rlrıyl ilgili zı heslmlr olşrk Anhr kelimeler: Qsi-konveks onksiyonlr hölder eşisizliği ower men eşisizliği INTRODUCTION Le : I e conve ncion deined on he inervl I o rel nmers nd I wih The ollowing ineliy known s he Hermie-Hdmrd ineliy or conve ncions holds: * Sorml yzr: yildizc@nier
2 64 Yıldız e l d In recen yers mny hors hve eslished severl ineliies conneced o Hermie Hdmrd s ineliy For recen resls reinemens conerrs generlizions nd new Hermie- Hdmrd ye ineliies [see Drgomir 99; Kırmcı 4; Tseng e l nd Yng e l 4 We recll h he noion o si-conve ncions generlizes he noion o conve ncions More recisely ncion : [] is sid o e si-conve on [] i λ λ y m{ y } or ny y [] nd [] Clerly ny conve ncion is si-conve ncion Frhermore here eis si-conve ncions which re no conve see Ion 7 Recenly Ion 7 eslished wo ineliies or ncions whose irs derivives in sole vle re si-conve Nmely he oined he ollowing resls: Theorem : Assme wih nd is dierenile ncion on I is si-conve on [] hen he ollowing ineliy holds re m{ } 4 Theorem : Assme wih nd is dierenile ncion on Assme wih I is si-conve on [] hen he ollowing ineliy holds re EÜFBED - Fen Bilimleri Ensiüsü Dergisi Cil-Syı: 3- Yıl: 63-7
3 65 Some Ineliies o Hermie-Hdmrd Tye { } m Alomri e l oined he ollowing resls Alomri e l Theorem 3: Le : e dierenile ming on sch h where wih I is siconve on [] hen he ollowing ineliy holds: m m 8 Theorem 4: Le : e dierenile ming on sch h where wih I is siconve on [] or hen he ollowing ineliy holds: m 4 m Theorem 5: Le : e dierenile ming on wih I is si-conve on [] hen he ollowing ineliy holds: m m 8 3 EÜFBED - Fen Bilimleri Ensiüsü Dergisi Cil-Syı: 3- Yıl: 63-7
4 66 Yıldız e l For recen resls reled o si-conve ncions we reer ineres o reders o see Alomri e l 9; Alomri e l 9; Alomri nd Drs ; Alomri nd Drs ; Drgomir nd Perce 998; Se e l ; Srıky e l ; Tseng e l 3 The min rose o his sdy is o generlize he Theorem 3 Theorem 4 nd Theorem 5 or si-conve ncions sing he Lemm Hermie-Hdmrd Tye Ineliies For Qsi-Conve Fncions In order o rove or min heorems we need he ollowing lemm which ws roved y Kvrmcı e l Lemm : Le : I e dierenile ming on he inerior o where wih < I hen he ollowing eliy holds: = d d Theorem 6: : Le : I e dierenile ming on he inerior o sch h where wih < I is si-conve on [] hen he ollowing ineliy holds: m Proo: From Lemm we hve { } m { } EÜFBED - Fen Bilimleri Ensiüsü Dergisi Cil-Syı: 3- Yıl: 63-7
5 67 Some Ineliies o Hermie-Hdmrd Tye d d { } { } m m d d { } { } m m which comlees he ro Remrk : In Theorem 6 i choose = we oin ineliy Theorem 7: Le : e dierenile ming on he inerior o sch h where wih I is si-conve on [] hen he ollowing ineliy holds: m m EÜFBED - Fen Bilimleri Ensiüsü Dergisi Cil-Syı: 3- Yıl: 63-7
6 68 Yıldız e l where = Proo: From Lemm nd sing well known Hölder ineliy we hve d d m m m m d d d d d d d = EÜFBED - Fen Bilimleri Ensiüsü Dergisi Cil-Syı: 3- Yıl: 63-7
7 69 Some Ineliies o Hermie-Hdmrd Tye which comlees he roo Remrk : In Theorem 7 i choose = we oin ineliy Theorem 8: : Le : e dierenile ming on he inerior o sch h where wih I is si-conve on [] hen he ollowing ineliy holds: { } { } m m Proo: From Lemm nd sing he well known ower men ineliy we hve d d d d d d EÜFBED - Fen Bilimleri Ensiüsü Dergisi Cil-Syı: 3- Yıl: 63-7
8 7 Yıldız e l Since is si-conve we hve { } d m nd { } d m Thereore we hve m{ } m{ } Remrk 3: In Theorem 8 i choose REFERENCES = we oin 3 ineliy Alomri M Drs M nd Drgomir SS 9 Ineliies o Hermie- Hdmrds ye or ncions whose derivives sole vles re siconve RGMIA Res Re Coll Slemen Aricle 4 Alomri M Drs M nd Drgomir SS 9 New ineliies o Hermie-Hdmrd ye or ncions whose second derivives sole vles re si-conve RGMIA Res Re Coll Slemen Aricle 7 Alomri M nd Drs M On some ineliies Simson-ye vi si-conve ncions wih licions RGMIA Res Re Coll 3 Aricle 8 [ h://wwwsve/rgmia/ ] EÜFBED - Fen Bilimleri Ensiüsü Dergisi Cil-Syı: 3- Yıl: 63-7
9 7 Some Ineliies o Hermie-Hdmrd Tye Alomri M nd Drs M Some Osrowski ye ineliies or siconve ncions wih licions o secil mens RGMIA Res Re Coll 3 Aricle 3 [h://wwwsve/rgmia/ ] Alomri M Drs M nd Kirmcı US Reinemens o Hdmrd-ye ineliies or si-conve ncions wih licions o rezoidl orml nd o secil mens Comers nd Mhemics wih Alicions Drgomir SS 99 Two mings in connecion o Hdmrds ineliies JMh Anl Al Drgomir SS nd Perce CEM 998 Qsi-conve ncions nd Hdmrds ineliy Bll Asrl Mh Soc Ion DA 7 Some esimes on he Hermie-Hdmrd ineliies hrogh si-conve ncions Annls o Universiy o Criov Mh Com Sci Ser Kvrmcı H Avcı M nd Özdemir ME New Ineliies o Hermie- Hdmrd Tye or Conve Fncions wih Alicions Ariv:6593v Kirmci US 4 Ineliies or dierenile mings nd licions o secil mens o rel nmers o midoin orml Al Mh Com Se E Özdemir ME nd Srıky MZ On new ineliies o Simsons ye or si-conve ncions wih licions RGMIA Res Re Coll 3 Aricle 6 [h://wwwsve/rgmia/ ] Srıky MZ Sğlm A nd Yıldırım H New ineliies o Hermie-Hdmrd ye or ncions whose second derivives sole vles re conve nd si-conve Ariv:545v Tseng KL Hwng SR nd Drgomir SS New Hermie-Hdmrd Tye Ineliies For Conve Fncions RGMIA Res Re Coll 3 Aricle 5 Tseng KL Yng GS nd Drgomir SS 3 On si conve ncions nd Hdmrds ineliy RGMIA Res Re Coll 6 3 Aricle [h://wwwsve/rgmia/ ] Yng GS Hwng DY nd Tseng KL 4 Some ineliies or dierenile conve nd concve mings Com Mh Al **** EÜFBED - Fen Bilimleri Ensiüsü Dergisi Cil-Syı: 3- Yıl: 63-7
Hermite-Hadamard and Simpson Type Inequalities for Differentiable Quasi-Geometrically Convex Functions
Trkish Jornl o Anlysis nd Nmer Theory, 4, Vol, No, 4-46 Aville online h://ssciecom/jn/// Science nd Edcion Plishing DOI:69/jn--- Hermie-Hdmrd nd Simson Tye Ineliies or Dierenile Qsi-Geomericlly Convex
On The Hermite- Hadamard-Fejér Type Integral Inequality for Convex Function
Turkish Journl o Anlysis nd Numer Theory, 4, Vol., No. 3, 85-89 Aville online h://us.scieu.com/jn//3/6 Science nd Educion Pulishing DOI:.69/jn--3-6 On The Hermie- Hdmrd-Fejér Tye Inegrl Ineuliy or Convex
Generalized Hermite-Hadamard Type Inequalities for p -Quasi- Convex Functions
Ordu Üniv. Bil. Tek. Derg. Cilt:6 Syı: 683-93/Ordu Univ. J. Sci. Tech. Vol:6 No:683-93 -QUASİ-KONVEKS FONKSİYONLAR İÇİN GENELLEŞTİRİLMİŞ HERMİTE-HADAMARD TİPLİ EŞİTSİZLİKLER Özet İm İŞCAN* Giresun Üniversitesi
INEQUALITIES OF HERMITE-HADAMARD S TYPE FOR FUNCTIONS WHOSE DERIVATIVES ABSOLUTE VALUES ARE QUASI-CONVEX
INEQUALITIES OF HERMITE-HADAMARD S TYPE FOR FUNCTIONS WHOSE DERIVATIVES ABSOLUTE VALUES ARE QUASI-CONVEX M. ALOMARI A, M. DARUS A, AND S.S. DRAGOMIR B Astrct. In this er, some ineulities of Hermite-Hdmrd
On New Inequalities of Hermite-Hadamard-Fejér Type for Harmonically s-convex Functions via Fractional Integrals
Krelm en ve Müh. Derg. 6(:879 6 Krelm en ve Mühendili Dergii Jornl home ge: h://fd.en.ed.r eerch Aricle n New Ineliie of HermieHdmrdejér ye for Hrmoniclly Convex ncion vi rcionl Inegrl Keirli İnegrller
ON THE OSTROWSKI-GRÜSS TYPE INEQUALITY FOR TWICE DIFFERENTIABLE FUNCTIONS
Hceepe Journl of Mhemics nd Sisics Volume 45) 0), 65 655 ON THE OSTROWSKI-GRÜSS TYPE INEQUALITY FOR TWICE DIFFERENTIABLE FUNCTIONS M Emin Özdemir, Ahme Ock Akdemir nd Erhn Se Received 6:06:0 : Acceped
ON NEW INEQUALITIES OF SIMPSON S TYPE FOR FUNCTIONS WHOSE SECOND DERIVATIVES ABSOLUTE VALUES ARE CONVEX.
ON NEW INEQUALITIES OF SIMPSON S TYPE FOR FUNCTIONS WHOSE SECOND DERIVATIVES ABSOLUTE VALUES ARE CONVEX. MEHMET ZEKI SARIKAYA?, ERHAN. SET, AND M. EMIN OZDEMIR Asrc. In his noe, we oin new some ineuliies
f (a) + f (b) f (λx + (1 λ)y) max {f (x),f (y)}, x, y [a, b]. (1.1)
![f (a) + f (b) f (λx + (1 λ)y) max {f (x),f (y)}, x, y [a, b]. (1.1)](/thumbs/82/86576045.jpg "f (a) + f (b) f (λx + (1 λ)y) max {f (x),f (y)}, x, y [a, b]. (1.1)")
TAMKANG JOURNAL OF MATHEMATICS Volume 41, Number 4, 353-359, Winter 1 NEW INEQUALITIES OF HERMITE-HADAMARD TYPE FOR FUNCTIONS WHOSE SECOND DERIVATIVES ABSOLUTE VALUES ARE QUASI-CONVEX M. ALOMARI, M. DARUS
The Hadamard s inequality for quasi-convex functions via fractional integrals
Annls of the University of Criov, Mthemtics nd Computer Science Series Volume (), 3, Pges 67 73 ISSN: 5-563 The Hdmrd s ineulity for usi-convex functions vi frctionl integrls M E Özdemir nd Çetin Yildiz
EÜFBED - Fen Bilimleri Enstitüsü Dergisi Cilt-Sayı: 3-1 Yıl:
EÜFBED - Fen Bilimleri Enstitüsü Dergisi Cilt-Syı: 3- Yıl: 9-9 NEW INEQUALITIES FOR CONVEX FUNCTIONS KONVEKS FONKSİYONLAR İÇİN YENİ EŞİTSİZLİKLER Mevlüt TUNÇ * ve S. Uğur KIRMACI Kilis 7 Arlık Üniversitesi,
On some inequalities for s-convex functions and applications
Özdemir et l Journl of Ineulities nd Alictions 3, 3:333 htt://wwwjournlofineulitiesndlictionscom/content/3//333 R E S E A R C H Oen Access On some ineulities for s-convex functions nd lictions Muhmet Emin
Hermite-Hadamard-Fejér type inequalities for convex functions via fractional integrals
Sud. Univ. Beş-Bolyi Mh. 6(5, No. 3, 355 366 Hermie-Hdmrd-Fejér ype inequliies for convex funcions vi frcionl inegrls İmd İşcn Asrc. In his pper, firsly we hve eslished Hermie Hdmrd-Fejér inequliy for
On Hermite-Hadamard type integral inequalities for functions whose second derivative are nonconvex
Mly J Mt 34 93 3 On Hermite-Hdmrd tye integrl ineulities for functions whose second derivtive re nonconvex Mehmet Zeki SARIKAYA, Hkn Bozkurt nd Mehmet Eyü KİRİŞ b Dertment of Mthemtics, Fculty of Science
New general integral inequalities for quasiconvex functions
NTMSCI 6, No 1, 1-7 18 1 New Trends in Mthemticl Sciences http://dxdoiorg/185/ntmsci1739 New generl integrl ineulities for usiconvex functions Cetin Yildiz Atturk University, K K Eduction Fculty, Deprtment
ON NEW INEQUALITIES OF SIMPSON S TYPE FOR FUNCTIONS WHOSE SECOND DERIVATIVES ABSOLUTE VALUES ARE CONVEX
Journl of Applied Mhemics, Sisics nd Informics JAMSI), 9 ), No. ON NEW INEQUALITIES OF SIMPSON S TYPE FOR FUNCTIONS WHOSE SECOND DERIVATIVES ABSOLUTE VALUES ARE CONVEX MEHMET ZEKI SARIKAYA, ERHAN. SET
GENERALIZATION OF SOME INEQUALITIES VIA RIEMANN-LIOUVILLE FRACTIONAL CALCULUS
- TAMKANG JOURNAL OF MATHEMATICS Volume 5, Number, 7-5, June doi:5556/jkjm555 Avilble online hp://journlsmhkueduw/ - - - GENERALIZATION OF SOME INEQUALITIES VIA RIEMANN-LIOUVILLE FRACTIONAL CALCULUS MARCELA
Hermite-Hadamard type inequalities for harmonically convex functions
Hcettepe Journl o Mthemtics nd Sttistics Volume 43 6 4 935 94 Hermite-Hdmrd type ineulities or hrmoniclly convex unctions İmdt İşcn Abstrct The uthor introduces the concept o hrmoniclly convex unctions
Research Article New General Integral Inequalities for Lipschitzian Functions via Hadamard Fractional Integrals
Hindwi Pulishing orporion Inernionl Journl of Anlysis, Aricle ID 35394, 8 pges hp://d.doi.org/0.55/04/35394 Reserch Aricle New Generl Inegrl Inequliies for Lipschizin Funcions vi Hdmrd Frcionl Inegrls
Hermite-Hadamard and Simpson-like Type Inequalities for Differentiable p-quasi-convex Functions
Filomt 3:9 7 5945 5953 htts://doi.org/.98/fil79945i Pulished y Fculty of Sciences nd Mthemtics University of Niš Seri Aville t: htt://www.mf.ni.c.rs/filomt Hermite-Hdmrd nd Simson-like Tye Ineulities for
Integral inequalities for n times differentiable mappings
JACM 3, No, 36-45 8 36 Journl of Abstrct nd Computtionl Mthemtics http://wwwntmscicom/jcm Integrl ineulities for n times differentible mppings Cetin Yildiz, Sever S Drgomir Attur University, K K Eduction
Refinements to Hadamard s Inequality for Log-Convex Functions
Alied Mhemics 899-93 doi:436/m7 Pulished Online Jul (h://wwwscirporg/journl/m) Refinemens o Hdmrd s Ineuli for Log-Convex Funcions Asrc Wdllh T Sulimn Dermen of Comuer Engineering College of Engineering
Some new integral inequalities for n-times differentiable convex and concave functions
Avilble online t wwwisr-ublictionscom/jns J Nonliner Sci Al, 10 017, 6141 6148 Reserch Article Journl Homege: wwwtjnscom - wwwisr-ublictionscom/jns Some new integrl ineulities for n-times differentible
Hadamard-Type Inequalities for s Convex Functions I
Punjb University Journl of Mthemtics ISSN 6-56) Vol. ). 5-6 Hdmrd-Tye Ineulities for s Convex Functions I S. Hussin Dertment of Mthemtics Institute Of Sce Technology, Ner Rwt Toll Plz Islmbd Highwy, Islmbd
arxiv: v1 [math.ca] 28 Jan 2013
![arxiv: v1 [math.ca] 28 Jan 2013](/thumbs/75/71517898.jpg "arxiv: v1 [math.ca] 28 Jan 2013")
ON NEW APPROACH HADAMARD-TYPE INEQUALITIES FOR s-geometrically CONVEX FUNCTIONS rxiv:3.9v [mth.ca 8 Jn 3 MEVLÜT TUNÇ AND İBRAHİM KARABAYIR Astrct. In this pper we chieve some new Hdmrd type ineulities
Bulletin of the. Iranian Mathematical Society
ISSN: 07-060X Print ISSN: 735-855 Online Bulletin of the Irnin Mthemticl Society Vol 3 07, No, pp 09 5 Title: Some extended Simpson-type ineulities nd pplictions Authors: K-C Hsu, S-R Hwng nd K-L Tseng
New Ostrowski Type Inequalities for Harmonically Quasi-Convex Functions
X h Inernaional Saisics Days Conference (ISDC 206), Giresun, Turkey New Osrowski Tye Ineualiies for Harmonically Quasi-Convex Funcions Tuncay Köroğlu,*, İmda İşcan 2, Mehme Kun 3,3 Karadeniz Technical
The Hermite-Hadamard's inequality for some convex functions via fractional integrals and related results
AMSI 4 No 69 The Herie-Hdrd' ineliy or oe conve ncion vi rcionl inegrl nd reled rel E SET M Z SARIKAYA M E ÖZDEMIR AND H YILDIRIM Arc In hi pper we elih Herie-Hdrd ype ineliie or conve ncion in he econd
New Integral Inequalities of the Type of Hermite-Hadamard Through Quasi Convexity
Punjb University Journl of Mthemtics (ISSN 116-56) Vol. 45 (13) pp. 33-38 New Integrl Inequlities of the Type of Hermite-Hdmrd Through Qusi Convexity S. Hussin Deprtment of Mthemtics, College of Science,
Hermite-Hadamard Type Inequalities for the Functions whose Second Derivatives in Absolute Value are Convex and Concave
Applied Mthemticl Sciences Vol. 9 05 no. 5-36 HIKARI Ltd www.m-hikri.com http://d.doi.org/0.988/ms.05.9 Hermite-Hdmrd Type Ineulities for the Functions whose Second Derivtives in Absolute Vlue re Conve
Weighted Inequalities for Riemann-Stieltjes Integrals
Aville hp://pvm.e/m Appl. Appl. Mh. ISSN: 93-9466 ol. Ie Decemer 06 pp. 856-874 Applicion n Applie Mhemic: An Inernionl Jornl AAM Weighe Ineqliie or Riemnn-Sielje Inegrl Hüeyin Bk n Mehme Zeki Sriky Deprmen
GENERALIZED OSTROWSKI TYPE INEQUALITIES FOR FUNCTIONS WHOSE LOCAL FRACTIONAL DERIVATIVES ARE GENERALIZED s-convex IN THE SECOND SENSE
Journl of Alied Mthemtics nd Comuttionl Mechnics 6, 5(4), - wwwmcmczl -ISSN 99-9965 DOI: 75/jmcm64 e-issn 353-588 GENERALIZED OSTROWSKI TYPE INEQUALITIES FOR FUNCTIONS WHOSE LOCAL FRACTIONAL DERIVATIVES
NEW INEQUALITIES OF SIMPSON S TYPE FOR s CONVEX FUNCTIONS WITH APPLICATIONS. := f (4) (x) <. The following inequality. 2 b a
NEW INEQUALITIES OF SIMPSON S TYPE FOR s CONVEX FUNCTIONS WITH APPLICATIONS MOHAMMAD ALOMARI A MASLINA DARUS A AND SEVER S DRAGOMIR B Abstrct In terms of the first derivtive some ineulities of Simpson
On the Co-Ordinated Convex Functions
Appl. Mth. In. Si. 8, No. 3, 085-0 0 085 Applied Mthemtis & Inormtion Sienes An Interntionl Journl http://.doi.org/0.785/mis/08038 On the Co-Ordinted Convex Funtions M. Emin Özdemir, Çetin Yıldız, nd Ahmet
ON SOME NEW INEQUALITIES OF HADAMARD TYPE INVOLVING h-convex FUNCTIONS. 1. Introduction. f(a) + f(b) f(x)dx b a. 2 a
Act Mth. Univ. Comenine Vol. LXXIX, (00, pp. 65 7 65 ON SOME NEW INEQUALITIES OF HADAMARD TYPE INVOLVING h-convex FUNCTIONS M. Z. SARIKAYA, E. SET nd M. E. ÖZDEMIR Abstrct. In this pper, we estblish some
On some refinements of companions of Fejér s inequality via superquadratic functions
Proyecciones Journl o Mthemtics Vol. 3, N o, pp. 39-33, December. Universidd Ctólic del Norte Antogst - Chile On some reinements o compnions o Fejér s inequlity vi superqudrtic unctions Muhmmd Amer Lti
The Hadamard s Inequality for s-convex Function
Int. Journl o Mth. Anlysis, Vol., 008, no. 3, 639-646 The Hdmrd s Inequlity or s-conve Function M. Alomri nd M. Drus School o Mthemticl Sciences Fculty o Science nd Technology Universiti Kebngsn Mlysi
ON COMPANION OF OSTROWSKI INEQUALITY FOR MAPPINGS WHOSE FIRST DERIVATIVES ABSOLUTE VALUE ARE CONVEX WITH APPLICATIONS
Miskolc Mthemticl Notes HU ISSN 787-5 Vol. 3 (), No., pp. 33 8 ON OMPANION OF OSTROWSKI INEQUALITY FOR MAPPINGS WHOSE FIRST DERIVATIVES ABSOLUTE VALUE ARE ONVEX WITH APPLIATIONS MOHAMMAD W. ALOMARI, M.
HERMITE-HADAMARD TYPE INEQUALITIES FOR FUNCTIONS WHOSE DERIVATIVES ARE (α, m)-convex
HERMITE-HADAMARD TYPE INEQUALITIES FOR FUNCTIONS WHOSE DERIVATIVES ARE (α -CONVEX İMDAT İŞCAN Dertent of Mthetics Fculty of Science nd Arts Giresun University 8 Giresun Turkey idtiscn@giresunedutr Abstrct:
Some estimates on the Hermite-Hadamard inequality through quasi-convex functions
Annls of University of Criov, Mth. Comp. Sci. Ser. Volume 3, 7, Pges 8 87 ISSN: 13-693 Some estimtes on the Hermite-Hdmrd inequlity through qusi-convex functions Dniel Alexndru Ion Abstrct. In this pper
FURTHER GENERALIZATIONS. QI Feng. The value of the integral of f(x) over [a; b] can be estimated in a variety ofways. b a. 2(M m)
![FURTHER GENERALIZATIONS. QI Feng. The value of the integral of f(x) over [a; b] can be estimated in a variety ofways. b a. 2(M m)](/thumbs/75/72845579.jpg "FURTHER GENERALIZATIONS. QI Feng. The value of the integral of f(x) over [a; b] can be estimated in a variety ofways. b a. 2(M m)")
Univ. Beogrd. Pul. Elekroehn. Fk. Ser. M. 8 (997), 79{83 FUTHE GENEALIZATIONS OF INEQUALITIES FO AN INTEGAL QI Feng Using he Tylor's formul we prove wo inegrl inequliies, h generlize K. S. K. Iyengr's
Some New Inequalities of Simpson s Type for s-convex Functions via Fractional Integrals
Filomt 3:5 (7), 4989 4997 htts://doi.org/.98/fil75989c Published by Fculty o Sciences nd Mthemtics, University o Niš, Serbi Avilble t: htt://www.m.ni.c.rs/ilomt Some New Ineulities o Simson s Tye or s-convex
On new Hermite-Hadamard-Fejer type inequalities for p-convex functions via fractional integrals
CMMA, No., -5 7 Communiction in Mthemticl Modeling nd Applictions http://ntmsci.com/cmm On new Hermite-Hdmrd-Fejer type ineulities or p-convex unctions vi rctionl integrls Mehmet Kunt nd Imdt Iscn Deprtment
Some Hermite-Hadamard type inequalities for functions whose exponentials are convex
Stud. Univ. Beş-Bolyi Mth. 6005, No. 4, 57 534 Some Hermite-Hdmrd type inequlities for functions whose exponentils re convex Silvestru Sever Drgomir nd In Gomm Astrct. Some inequlities of Hermite-Hdmrd
On New Inequalities of Hermite-Hadamard-Fejer Type for Harmonically Quasi-Convex Functions Via Fractional Integrals
X th Interntionl Sttistics Dys Conference ISDC 6), Giresun, Turkey On New Ineulities of Hermite-Hdmrd-Fejer Type for Hrmoniclly Qusi-Convex Functions Vi Frctionl Integrls Mehmet Kunt * nd İmdt İşcn Deprtment
A study on Hermite-Hadamard type inequalities for s-convex functions via conformable fractional
Sud. Univ. Babeş-Bolyai Mah. 6(7), No. 3, 39 33 DOI:.493/subbmah.7.3.4 A sudy on Hermie-Hadamard ye inequaliies for s-convex funcions via conformable fracional inegrals Erhan Se and Abdurrahman Gözınar
Hermite-Hadamard inequality for geometrically quasiconvex functions on co-ordinates
Int. J. Nonliner Anl. Appl. 8 27 No. 47-6 ISSN: 28-6822 eletroni http://dx.doi.org/.2275/ijn.26.483 Hermite-Hdmrd ineulity for geometrilly usionvex funtions on o-ordintes Ali Brni Ftemeh Mlmir Deprtment
Parametrized inequality of Hermite Hadamard type for functions whose third derivative absolute values are quasi convex
Wu et l. SpringerPlus (5) 4:83 DOI.8/s44-5-33-z RESEARCH Prmetrized inequlity of Hermite Hdmrd type for functions whose third derivtive bsolute vlues re qusi convex Shn He Wu, Bnyt Sroysng, Jin Shn Xie
ON THE HERMITE-HADAMARD TYPE INEQUALITIES FOR FRACTIONAL INTEGRAL OPERATOR
Krgujevc ournl of Mthemtics Volume 44(3) (), Pges 369 37. ON THE HERMITE-HADAMARD TYPE INEQUALITIES FOR FRACTIONAL INTEGRAL OPERATOR H. YALDIZ AND M. Z. SARIKAYA Abstrct. In this er, using generl clss
Some integral inequalities of the Hermite Hadamard type for log-convex functions on co-ordinates
Avilble online t www.tjns.om J. Nonliner Si. Appl. 9 06), 5900 5908 Reserh Artile Some integrl inequlities o the Hermite Hdmrd type or log-onvex untions on o-ordintes Yu-Mei Bi, Feng Qi b,, College o Mthemtis,
Generalized Hermite-Hadamard-Fejer type inequalities for GA-convex functions via Fractional integral
DOI 763/s4956-6-4- Moroccn J Pure nd Appl AnlMJPAA) Volume ), 6, Pges 34 46 ISSN: 35-87 RESEARCH ARTICLE Generlized Hermite-Hdmrd-Fejer type inequlities for GA-conve functions vi Frctionl integrl I mdt
ON CO-ORDINATED OSTROWSKI AND HADAMARD S TYPE INEQUALITIES FOR CONVEX FUNCTIONS II
TJMM 9 (7), No., 35-4 ON CO-ORDINATED OSTROWSKI AND HADAMARD S TYPE INEQUALITIES FOR CONVEX FUNCTIONS II MUHAMMAD MUDDASSAR, NASIR SIDDIQUI, AND MUHAMMAD IQBAL Abstrt. In this rtile, we estblish vrious
Hadamard-Type Inequalities for s-convex Functions
Interntionl Mthemtil Forum, 3, 008, no. 40, 965-975 Hdmrd-Type Inequlitie or -Convex Funtion Mohmmd Alomri nd Mlin Dru Shool o Mthemtil Siene Fulty o Siene nd Tehnology Univeriti Kebngn Mlyi Bngi 43600
CALDERON S REPRODUCING FORMULA FOR DUNKL CONVOLUTION
Avilble online hp://scik.org Eng. Mh. Le. 15, 15:4 ISSN: 49-9337 CALDERON S REPRODUCING FORMULA FOR DUNKL CONVOLUTION PANDEY, C. P. 1, RAKESH MOHAN AND BHAIRAW NATH TRIPATHI 3 1 Deprmen o Mhemics, Ajy
Co-ordinated s-convex Function in the First Sense with Some Hadamard-Type Inequalities
Int. J. Contemp. Mth. Sienes, Vol. 3, 008, no. 3, 557-567 Co-ordinted s-convex Funtion in the First Sense with Some Hdmrd-Type Inequlities Mohmmd Alomri nd Mslin Drus Shool o Mthemtil Sienes Fulty o Siene
1. Introduction. 1 b b
Journl of Mhemicl Inequliies Volume, Number 3 (007), 45 436 SOME IMPROVEMENTS OF GRÜSS TYPE INEQUALITY N. ELEZOVIĆ, LJ. MARANGUNIĆ AND J. PEČARIĆ (communiced b A. Čižmešij) Absrc. In his pper some inequliies
Research Article On Hermite-Hadamard Type Inequalities for Functions Whose Second Derivatives Absolute Values Are s-convex
ISRN Applied Mthemtics, Article ID 8958, 4 pges http://dx.doi.org/.55/4/8958 Reserch Article On Hermite-Hdmrd Type Inequlities for Functions Whose Second Derivtives Absolute Vlues Are s-convex Feixing
NEW HERMITE HADAMARD INEQUALITIES VIA FRACTIONAL INTEGRALS, WHOSE ABSOLUTE VALUES OF SECOND DERIVATIVES IS P CONVEX
Journl of Mthemticl Ineulities Volume 1, Number 3 18, 655 664 doi:1.7153/jmi-18-1-5 NEW HERMITE HADAMARD INEQUALITIES VIA FRACTIONAL INTEGRALS, WHOSE ABSOLUTE VALUES OF SECOND DERIVATIVES IS P CONVEX SHAHID
n-points Inequalities of Hermite-Hadamard Type for h-convex Functions on Linear Spaces
Armenin Journl o Mthemtics Volume 8, Number, 6, 38 57 n-points Inequlities o Hermite-Hdmrd Tpe or h-convex Functions on Liner Spces S. S. Drgomir Victori Universit, Universit o the Witwtersrnd Abstrct.
C 0 Approximation on the Spatially Homogeneous Boltzmann Equation for Maxwellian Molecules*
Alied Mhemics,,, 54-59 doi:.46/m..666 Published Online December (h://www.scip.org/journl/m) C Aroximion on he Silly Homogeneous Bolzmnn Equion or Mxwellin Molecules Absrc Minling Zheng School o Science,
On Hadamard and Fejér-Hadamard inequalities for Caputo k-fractional derivatives
In J Nonliner Anl Appl 9 8 No, 69-8 ISSN: 8-68 elecronic hp://dxdoiorg/75/ijn8745 On Hdmrd nd Fejér-Hdmrd inequliies for Cpuo -frcionl derivives Ghulm Frid, Anum Jved Deprmen of Mhemics, COMSATS Universiy
RIEMANN-LIOUVILLE FRACTIONAL SIMPSON S INEQUALITIES THROUGH GENERALIZED (m, h 1, h 2 )-PREINVEXITY
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS N. 38 7 345 37 345 RIEMANN-LIOUVILLE FRACTIONAL SIMPSON S INEQUALITIES THROUGH GENERALIZED m h h -PREINVEXITY Cheng Peng Chng Zhou Tingsong Du Deprtment
Hermite-Hadamard-Fejér type inequalities for harmonically convex functions via fractional integrals
NTMSCI 4, No. 3, 39-53 6 39 New Trends in Mthemticl Sciences http://d.doi.or/.5/ntmsci.6337 Hermite-Hdmrd-Fejér type ineulities or hrmoniclly conve unctions vi rctionl interls Imdt Iscn, Mehmet Kunt nd
Research Article On The Hadamard s Inequality for Log-Convex Functions on the Coordinates
Hindwi Publishing Corportion Journl of Inequlities nd Applictions Volume 29, Article ID 28347, 3 pges doi:.55/29/28347 Reserch Article On The Hdmrd s Inequlity for Log-Convex Functions on the Coordintes
CERTAIN NEW HERMITE-HADAMARD TYPE INEQUALITIES FOR CONVEX FUNCTIONS VIA FRACTIONAL INTAGRALS
Aville online: Ferury 4, 8 Commun. Fc. Sci. Univ. Ank. Ser. A Mth. Stt. Volume 68, Numer, Pge 6 69 9 DOI:.5/Commu_89 ISSN 33 599 http://communiction.cience.nkr.edu.tr/index.php?eriea CERTAIN NEW HERMITE-HADAMARD
Inequalities for convex and s-convex functions on Δ =[a, b] [c, d]
![Inequalities for convex and s-convex functions on Δ =[a, b] [c, d]](/thumbs/87/96833844.jpg "Inequalities for convex and s-convex functions on Δ =[a, b] [c, d]")
Özdemir et l. Journl o Ineulities nd Applitions, : http://www.journloineulitiesndpplitions.om/ontent/// RESEARCH Open Aess Ineulities or onvex nd s-onvex untions on Δ =, b], d] Muhmet Emin Özdemir, Hvv
Generalized Hermite-Hadamard type inequalities involving fractional integral operators
Setetl.Journl of Ineulities nd Alictions 7 7:69 DOI.86/s366-7-444-6 R E S E A R C H Oen Access Generlized Hermite-Hdmrd tye ineulities involving frctionl integrl oertors Erhn Set, Muhmmed Aslm Noor,3,
An Integral Two Space-Variables Condition for Parabolic Equations
Jornl of Mhemics nd Sisics 8 (): 85-9, ISSN 549-3644 Science Pblicions An Inegrl Two Spce-Vribles Condiion for Prbolic Eqions Mrhone, A.L. nd F. Lkhl Deprmen of Mhemics, Lborory Eqions Differenielles,
Some inequalities of Hermite-Hadamard type for n times differentiable (ρ, m) geometrically convex functions
Avilble online t www.tjns.com J. Nonliner Sci. Appl. 8 5, 7 Reserch Article Some ineulities of Hermite-Hdmrd type for n times differentible ρ, m geometriclly convex functions Fiz Zfr,, Humir Klsoom, Nwb
On some Hermite Hadamard type inequalities for (s, QC) convex functions
Wu and Qi SpringerPlus 65:49 DOI.86/s464-6-676-9 RESEARCH Open Access On some Hermite Hadamard type ineualities for s, QC convex functions Ying Wu and Feng Qi,3* *Correspondence: ifeng68@gmail.com; ifeng68@hotmail.com
Acta Mathematica Academiae Paedagogicae Nyíregyháziensis 32 (2016), ISSN
Aca Mahemaica Academiae Paedagogicae Nyíregyháziensis 3 6, 79 7 www.emis.de/journals ISSN 76-9 INTEGRAL INEQUALITIES OF HERMITE HADAMARD TYPE FOR FUNCTIONS WHOSE DERIVATIVES ARE STRONGLY α-preinvex YAN
HERMITE-HADAMARD TYPE INEQUALITIES OF CONVEX FUNCTIONS WITH RESPECT TO A PAIR OF QUASI-ARITHMETIC MEANS
HERMITE-HADAMARD TYPE INEQUALITIES OF CONVEX FUNCTIONS WITH RESPECT TO A PAIR OF QUASI-ARITHMETIC MEANS FLAVIA CORINA MITROI nd CĂTĂLIN IRINEL SPIRIDON In this pper we estblish some integrl inequlities
Weighted Hardy-Type Inequalities on Time Scales with Applications
Medierr J Mh DOI 0007/s00009-04-054-y c Sringer Bsel 204 Weighed Hrdy-Tye Ineuliies on Time Scles wih Alicions S H Sker, R R Mhmoud nd A Peerson Absrc In his er, we will rove some new dynmic Hrdy-ye ineuliies
INEQUALITIES OF HERMITE-HADAMARD TYPE FOR
Preprints (www.preprints.org) NOT PEER-REVIEWED Posted: 7 June 8 doi:.944/preprints86.44.v INEQUALITIES OF HERMITE-HADAMARD TYPE FOR COMPOSITE h-convex FUNCTIONS SILVESTRU SEVER DRAGOMIR ; Abstrct. In
LOGARITHMIC INEQUALITIES FOR TWO POSITIVE NUMBERS VIA TAYLOR S EXPANSION WITH INTEGRAL REMAINDER
LOGARITHMIC INEQUALITIES FOR TWO POSITIVE NUMBERS VIA TAYLOR S EXPANSION WITH INTEGRAL REMAINDER S. S. DRAGOMIR ;2 Astrct. In this pper we otin severl new logrithmic inequlities for two numers ; minly
Research Article Generalized Fractional Integral Inequalities for Continuous Random Variables
Journl of Proiliy nd Sisics Volume 2015, Aricle ID 958980, 7 pges hp://dx.doi.org/10.1155/2015/958980 Reserch Aricle Generlized Frcionl Inegrl Inequliies for Coninuous Rndom Vriles Adullh Akkur, Zeynep
f(tx + (1 t)y) h(t)f(x) + h(1 t)f(y) (1.1)
MATEMATIQKI VESNIK 68, 206, 45 57 Mrch 206 origili uqi rd reserch pper INTEGRAL INEQUALITIES OF JENSEN TYPE FOR λ-convex FUNCTIONS S. S. Drgomir Abstrct. Some itegrl iequlities o Jese type or λ-covex uctios
MUHAMMAD MUDDASSAR AND AHSAN ALI
NEW INTEGRAL INEQUALITIES THROUGH GENERALIZED CONVEX FUNCTIONS WITH APPLICATION rxiv:138.3954v1 [th.ca] 19 Aug 213 MUHAMMAD MUDDASSAR AND AHSAN ALI Abstrct. In this pper, we estblish vrious inequlities
A NOTE ON THE HERMITE HADAMARD INEQUALITY FOR CONVEX FUNCTIONS ON THE CO ORDINATES FEIXIANG CHEN. 1. Introduction. f (t)dt. b a a
Journal o Mathematial Inequalities Volume 8 Number ( 95 93 doi:.753/jmi-8-69 A NOTE ON THE HERMITE HADAMARD INEQUALITY FOR CONVEX FUNCTIONS ON THE CO ORDINATES FEIXIANG CHEN (Communiated by S. Abramovih
1. Find a basis for the row space of each of the following matrices. Your basis should consist of rows of the original matrix.
Mh 7 Exm - Prcice Prolem Solions. Find sis for he row spce of ech of he following mrices. Yor sis shold consis of rows of he originl mrix. 4 () 7 7 8 () Since we wn sis for he row spce consising of rows
A GENERALIZATION OF HERMITE-HADAMARD S INEQUALITY
Krgujevc Jourl o Mthemtics Volume 4() (7), Pges 33 38. A GENERALIZATION OF HERMITE-HADAMARD S INEQUALITY MOHAMMAD W. ALOMARI Abstrct. I literture the Hermite-Hdmrd iequlity ws eligible or my resos, oe
Theoretical foundations of Gaussian quadrature
Theoreticl foundtions of Gussin qudrture 1 Inner product vector spce Definition 1. A vector spce (or liner spce) is set V = {u, v, w,...} in which the following two opertions re defined: (A) Addition of
Positive and negative solutions of a boundary value problem for a
Invenion Journl of Reerch Technology in Engineering & Mngemen (IJRTEM) ISSN: 2455-3689 www.ijrem.com Volume 2 Iue 9 ǁ Sepemer 28 ǁ PP 73-83 Poiive nd negive oluion of oundry vlue prolem for frcionl, -difference
Hermite-Hadamard Type Inequalities for GA-convex Functions on the Co-ordinates with Applications
Proceedings of the Pakistan Academy of Sciences 52 (4): 367 379 (2015) Copyright Pakistan Academy of Sciences ISSN: 0377-2969 (print), 2306-1448 (online) Pakistan Academy of Sciences Research Article Hermite-Hadamard
Operator (h,m)-convexity and Hermite-Hadamard Type Inequalities
Ordu University Journal of Science and Technology / Ordu Üniversitesi ili ve Teknoloji Dergisi Ordu Üniv. il. Tek. Derg., 7; 7(): 367-377 Ordu Univ. J. Sci. Tech., 7; 7(): 367-377 e-issn: 46-6459 Research
SOME PROPERTIES OF GENERALIZED STRONGLY HARMONIC CONVEX FUNCTIONS MUHAMMAD ASLAM NOOR, KHALIDA INAYAT NOOR, SABAH IFTIKHAR AND FARHAT SAFDAR
Inernaional Journal o Analysis and Applicaions Volume 16, Number 3 2018, 427-436 URL: hps://doi.org/10.28924/2291-8639 DOI: 10.28924/2291-8639-16-2018-427 SOME PROPERTIES OF GENERALIZED STRONGLY HARMONIC
On Some Hadamard-Type Inequalıtıes for Convex Functıons
Aville t htt://vuedu/ Al Al Mth ISSN: 93-9466 Vol 9, Issue June 4, 388-4 Alictions nd Alied Mthetics: An Intentionl Jounl AAM On Soe Hdd-Tye Inequlıtıes o, Convex Functıons M Ein Özdei Detent o Mthetics
An inequality related to η-convex functions (II)
Int. J. Nonliner Anl. Appl. 6 (15) No., 7-33 ISSN: 8-68 (electronic) http://d.doi.org/1.75/ijn.15.51 An inequlity relted to η-conve functions (II) M. Eshghi Gordji, S. S. Drgomir b, M. Rostmin Delvr, Deprtment
arxiv: v1 [math.ca] 13 Feb 2014
![arxiv: v1 [math.ca] 13 Feb 2014](/thumbs/94/119398500.jpg "arxiv: v1 [math.ca] 13 Feb 2014")
arxiv:1.379v1 math.ca 13 Feb 1 SOME NEW INEQUALITIES OF HERMITE-HADAMARD TYPE FOR hconvex FUNCTIONS ON THE CO-ORDINATES VIA FRACTIONAL INTEGRALS. ERHAN SET, M. ZEKI SARIKAYA, AND HATICE ÖGÜLMÜŞ Abstract.
Research Article Fejér and Hermite-Hadamard Type Inequalities for Harmonically Convex Functions
Hindwi Pulishing Corportion Journl of Applied Mthemtics Volume 4, Article ID 38686, 6 pges http://dx.doi.org/.55/4/38686 Reserch Article Fejér nd Hermite-Hdmrd Type Inequlities for Hrmoniclly Convex Functions
MonotonicBehaviourofRelativeIncrementsofPearsonDistributions
Globl Journl o Science Frontier Reserch: F Mthemtics nd Decision Sciences Volume 8 Issue 5 Version.0 Yer 208 Type : Double lind Peer Reviewed Interntionl Reserch Journl Publisher: Globl Journls Online
Properties and integral inequalities of Hadamard- Simpson type for the generalized (s, m)-preinvex functions
Avilble online t wwwtjnscom J Nonliner Sci Appl 9 6, 3 36 Reserch Article Properties nd integrl ineulities of Hdmrd- Simpson type for the generlized s, m-preinvex functions Ting-Song Du,b,, Ji-Gen Lio,
A LIMIT-POINT CRITERION FOR A SECOND-ORDER LINEAR DIFFERENTIAL OPERATOR IAN KNOWLES
A LIMIT-POINT CRITERION FOR A SECOND-ORDER LINEAR DIFFERENTIAL OPERATOR j IAN KNOWLES 1. Inroducion Consider he forml differenil operor T defined by el, (1) where he funcion q{) is rel-vlued nd loclly
ERROR ESTIMATES FOR APPROXIMATING THE FOURIER TRANSFORM OF FUNCTIONS OF BOUNDED VARIATION
ERROR ESTIMATES FOR APPROXIMATING THE FOURIER TRANSFORM OF FUNCTIONS OF BOUNDED VARIATION N.S. BARNETT, S.S. DRAGOMIR, AND G. HANNA Absrc. I his pper we poi ou pproximio for he Fourier rsform for fucios
Bounds for the Riemann Stieltjes integral via s-convex integrand or integrator
ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA Volume 6, Number, 0 Avilble online t www.mth.ut.ee/ct/ Bounds for the Riemnn Stieltjes integrl vi s-convex integrnd or integrtor Mohmmd Wjeeh
Journal of Inequalities in Pure and Applied Mathematics
Journl of Inequlities in Pure nd Applied Mthemtics http://jipm.vu.edu.u/ Volume 3, Issue, Article 4, 00 ON AN IDENTITY FOR THE CHEBYCHEV FUNCTIONAL AND SOME RAMIFICATIONS P. CERONE SCHOOL OF COMMUNICATIONS
arxiv: v1 [math.ca] 2 Jan 2019
![arxiv: v1 [math.ca] 2 Jan 2019](/thumbs/93/113120820.jpg "arxiv: v1 [math.ca] 2 Jan 2019")
TWO-POINT QUADRATURE RULES FOR RIEMANN STIELTJES INTEGRALS WITH L ERROR ESTIMATES M.W. ALOMARI rxiv:1901.01147v1 [mth.ca] Jn 019 Abstrct. In this work, we construct new generl Two-oint qudrtre rules for
THE HERMITE-HADAMARD TYPE INEQUALITIES FOR OPERATOR CONVEX FUNCTIONS
THE HERMITE-HADAMARD TYPE INEQUALITIES FOR OPERATOR CONVEX FUNCTIONS S.S. DRAGOMIR Abstract. Some Hermite-Hadamard s type inequalities or operator convex unctions o seladjoint operators in Hilbert spaces
S. S. Dragomir. 2, we have the inequality. b a
Bull Koren Mth Soc 005 No pp 3 30 SOME COMPANIONS OF OSTROWSKI S INEQUALITY FOR ABSOLUTELY CONTINUOUS FUNCTIONS AND APPLICATIONS S S Drgomir Abstrct Compnions of Ostrowski s integrl ineulity for bsolutely
Contraction Mapping Principle Approach to Differential Equations
epl Journl of Science echnology 0 (009) 49-53 Conrcion pping Principle pproch o Differenil Equions Bishnu P. Dhungn Deprmen of hemics, hendr Rn Cmpus ribhuvn Universiy, Khmu epl bsrc Using n eension of
ON AN INTEGRATION-BY-PARTS FORMULA FOR MEASURES
Volume 8 (2007), Issue 4, Article 93, 13 pp. ON AN INTEGRATION-BY-PARTS FORMULA FOR MEASURES A. ČIVLJAK, LJ. DEDIĆ, AND M. MATIĆ AMERICAN COLLEGE OF MANAGEMENT AND TECHNOLOGY ROCHESTER INSTITUTE OF TECHNOLOGY