STRONGLY GENERALIZED HARMONIC CONVEX FUNCTIONS AND INTEGRAL INEQUALITIES

被引：0

作者：

Noor, Muhammad Aslam ^{[1
]}

Noor, Khalida Inayat ^{[1
]}

Iftikhar, Sabah ^{[1
]}

Awan, Muhammad Uzair ^{[2
]}

机构：

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

[2] Govt Coll Univ, Dept Math, Faisalabad, Pakistan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS | 2016年 / 7卷 / 03期

关键词：

Harmonic convex functions; Beta function; hypergeometric function; Hermite-Hadamard type inequality;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce and study a new class of convex functions which is called strongly generalized harmonic convex functions. We establish some estimates involving the Euler Beta function and the hypergeometric functions of the integral integral(b)(a)(x - a)(P) (b - x)(q) f(x)dx for the class of functions whose certain powers of the absolute value are generalized strongly harmonic convex. Several special cases are also discussed. Ideas and techniques of this paper may lead future research in this field.

引用

页码：66 / 77

页数：12

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