SOME NEW CLASSES OF CONVEX FUNCTIONS AND INEQUALITIES

被引：22

作者：

Awan, Muhammad Uzair ^{[1
]}

Noor, Muhammad Aslam ^{[2
]}

Noor, Khalida Inayat ^{[2
]}

Khan, Awais Gul ^{[1
]}

机构：

[1] GC Univ, Dept Math, Faisalabad, Pakistan

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

来源：

MISKOLC MATHEMATICAL NOTES | 2018年 / 19卷 / 01期

关键词：

convex function; Hermite-Hadamard inequalities; DIFFERENTIABLE MAPPINGS;

D O I：

10.18514/MMN.2018.2179

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we introduce some new class of convex functions involving two arbitrary auxiliary functions h(1), h(2) :I -> R, which are called (h(1),h(2))-convex functions. We derive some new integral inequalities for these classes of convex functions. We also discuss some special cases which can be deduced from our main results. Results obtained in this paper may be viewed as a significant refinement and improvement of the previously known results. The ideas and techniques of this work may be a starting point for future research.

引用

页码：77 / 94

页数：18

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