GENERALIZED (h; r)-HARMONIC CONVEX FUNCTIONS AND INEQUALITIES

被引：2

作者：

Noor, Muhammad Aslam ^{[1
]}

Noor, Khalida Inayat ^{[1
]}

Iftikhar, Sabah ^{[1
]}

Safdar, Farhat ^{[1
]}

机构：

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

来源：

INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2018年 / 16卷 / 04期

关键词：

convex functions; general preinvex functions; differentiability; Hermite-Hadamard inequality;

D O I：

10.28924/2291-8639-16-2018-542

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main aim of this paper is to introduce a new class of harmonic convex functions with respect to non-negative function h; which is called generalized (h; r)-harmonic convex functions. We derive some new Fejer-Hermite-Hadamard type inequalities for generalized harmonic convex functions. Some special cases are also discussed. The ideas and techniques of this paper may stimulate further research.

引用

页码：542 / 555

页数：14

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