Hermite-Hadamard Type Inequalities via the Montgomery Identity

被引：11
作者：
Khan, Muhammad Adil [1 ,2 ]
Khurshid, Yousaf [2 ]
Chu, Yu-Ming [3 ]
机构：
[1] Hunan City Univ, Coll Sci, Yiyang 413000, Peoples R China
[2] Univ Peshawar, Dept Math, Peshawar 25000, Pakistan
[3] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China
来源：
COMMUNICATIONS IN MATHEMATICS AND APPLICATIONS | 2019年 / 10卷 / 01期
关键词：
Montgomery identity; Convex function; Hermite-Hadamard inequality; Means; INTEGRAL-INEQUALITIES; MAPPINGS;
D O I：
10.26713/cma.v10i1.1178
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main aim of this manuscript is to prove the result for Hermite-Hadamard types inequalities and to strengthen our results by giving applications for means. The proof of the result is based on the Montgomery identity. We use the Montgomery identity to establish a new identity regarding the Hermite-Hadamard inequality. Based on this identity with a class of convex and monotone functions and Jensen's inequality, we obtain various results for the inequality. At the end, we also present applications for special bivariate means.
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收藏
页码：85 / 97
页数：13
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