FRACTIONAL HERMITE-HADAMARD INEQUALITIES FOR SOME CLASSES OF DIFFERENTIABLE PREINVEX FUNCTIONS

被引：0

作者：

Noor, Muhammad Aslam ^{[1
]}

Noor, Khalida Inayat ^{[1
]}

Mihai, Marcela V. ^{[2
]}

Awan, Muhammad Uzair ^{[1
]}

机构：

[1] COMSATS Inst Informat Technol, Dept Math, Pk Rd, Islamabad, Pakistan

[2] Univ Craiova, Dept Math, St AI Cuza 13, RO-200585 Craiova, Romania

来源：

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2016年 / 78卷 / 03期

关键词：

Hermite-Hadamard's inequalities; s -preinvex functions; s -Godunova-Levin preinvex functions; Riemann-Liouville fractional integrals; INVEXITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main objective of this article is to establish some new inequalities of Hermite-Hadamard type via Riemann-Liouville fractional integrals. We establish a new fractional integral identity for differentiable function, then using this identity as auxiliary result we derive some fractional Hermite-Hadamard type inequalities for differentiable s -preinvex functions and for differentiable s -Godunova-Levin preinvex functions.

引用

页码：163 / 174

页数：12

共 50 条

[31] Integral inequalities of Hermite-Hadamard type for functions whose derivatives are α-preinvex
Yan Wang
Miao-Miao Zheng
Feng Qi
[J]. Journal of Inequalities and Applications, 2014 (1)
[32] Hermite-Hadamard type inequalities for operator s-preinvex functions
Wang, Shu-Hong
Liu, Xi-Min
[J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (06): : 1070 - 1081
[33] Fractional Integral Inequalities of Hermite-Hadamard Type for Differentiable Generalizedh-Convex Functions
Yang, Yingxia
Saleem, Muhammad Shoaib
Ghafoor, Mamoona
Qureshi, Muhammad Imran
[J]. JOURNAL OF MATHEMATICS, 2020, 2020
[34] Generalized Fractional Hermite-Hadamard Inequalities for Twice Differentiable s-Convex Functions
Noor, Muhammad Aslam
Cristescu, Gabriela
Awan, Muhammad Uzair
[J]. FILOMAT, 2015, 29 (04) : 807 - 815
[35] Conformable fractional Hermite-Hadamard type inequalities for functions whose derivatives are s-preinvex
Merad, M.
Meftah, B.
Berkane, A.
[J]. JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2024, 27 (03) : 511 - 526
[36] Properties and Riemann-Liouville fractional Hermite-Hadamard inequalities for the generalized (α,m)-preinvex functions
Du, TingSong
Liao, JiaGen
Chen, LianZi
Awan, Muhammad Uzair
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
[37] Hermite-Hadamard Type Inequalities For Conformable Integrals Via Preinvex Functions
Khurshid, Yousaf
Khan, Muhammad Adil
[J]. APPLIED MATHEMATICS E-NOTES, 2021, 21 : 437 - 450
[38] Quantum Hermite-Hadamard type inequalities for generalized strongly preinvex functions
Kalsoom, Humaira
Latif, Muhammad Amer
Idrees, Muhammad
Arif, Muhammad
Salleh, Zabidin
[J]. AIMS MATHEMATICS, 2021, 6 (12): : 13291 - 13310
[39] New Hermite-Hadamard Type Inequalities for n-Times Differentiable and s-Logarithmically Preinvex Functions
Wang, Shuhong
Liu, Ximin
[J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
[40] SOME INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR DIFFERENTIABLE (s, m)-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS
Bayraktar, B.
[J]. TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2020, 10 (03): : 625 - 637

← 1 2 3 4 5 →