HARMONIC BETA-CONVEX FUNCTIONS INVOLVING HYPERGEOMETRIC FUNCTIONS

被引：2

作者：

Noor, Muhammad Aslam ^{[1
,2
]}

Noor, Khalida Inayat ^{[1
,2
]}

Iftikhar, Sabah ^{[1
,2
]}

机构：

[1] COMSATS Inst Informat Technol, Islamabad, Pakistan

[2] COMSATS Univ Islamabad, Islamabad, Pakistan

来源：

PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD | 2018年 / 104卷 / 118期

关键词：

harmonic convex function; beta-convex function; hypergeometric function; Hermite-Hadamard type inequality;

D O I：

10.2298/PIM1818241N

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce and study a new class harmonic convex functions, which is called harmonic beta-convex functions. This new class includes several new and previously known classes of harmonic convex functions as special cases. We obtain some new integral inequalities involving hypergeometric functions. Some special cases are also discussed. Results obtained in this paper continue to hold for these cases. Ideas and techniques of this paper may stimulate further research.

引用

页码：241 / 249

页数：9

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