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

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