Hermite-Hadamard type inequalities for logarithmically B-preinvex functions

被引：0

作者：

Zafar, Fiza ^{[1
]}

Hussain, Nawab ^{[2
]}

Yasmin, Nusrat ^{[1
]}

Mehboob, Hina ^{[1
]}

机构：

[1] Bahauddin Zakariya Univ, Ctr Adv Studies Pure & Appl Math CASPAM, Multan 60800, Pakistan

[2] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 12期

关键词：

Hermite-Hadamard inequality; logarithmically B-preinvex functions; convex functions;

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 the notion of logarithmically B-preinvex functions and establish certain new Hermite-Hadamard type inequalities for the functions whose derivatives in absolute value are logarithmically B-preinvex. Our results generalize several known results for the classes of logarithmically preinvex functions. Some estimates for the left and right hand side of the Hermite-Hadamard inequality are also obtained for a new class of differentiable logarithmically alpha-preinvex functions. (C) 2016 All rights reserved.

引用

页码：6096 / 6112

页数：17

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