A weighted version of Hermite-Hadamard type inequalities for strongly GA-convex functions

被引：13

作者：

Sharma, Nidhi ^{[1
]}

Mishra, S. K. ^{[1
]}

Hamdi, A. ^{[2
]}

机构：

[1] Banaras Hindu Univ, Inst Sci, Dept Math, Varanasi, Uttar Pradesh, India

[2] Qatar Univ, Coll Arts & Sci, Dept Math Stat & Phys, Doha, Qatar

来源：

INTERNATIONAL JOURNAL OF ADVANCED AND APPLIED SCIENCES | 2020年 / 7卷 / 03期

关键词：

Convex function; Geometrically symmetric function; Strongly GA-convex function; Hermite Hadamard inequality; Holder inequality;

D O I：

10.21833/ijaas.2020.03.012

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we have established new weighted Hermite-Hadamard type inequalities for strongly GA-convex functions. Those findings are obtained by using geometric symmetry of continuous positive mappings and differentiable mappings whose derivative in absolute value are strongly GA-convex. Some previous results are special cases of the results obtained in this paper. (C) 2020 The Authors. Published by IASE.

引用

页码：113 / 118

页数：6

共 18 条

[11] Geometrically Relative Convex Functions [J].