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
收藏
页码：113 / 118
页数：6
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