On convex functions and related inequalities

被引：0
|
作者：
Vaziri, Parvaneh [1 ]
Khodabakhshian, Hadi [1 ]
Safshekan, Rahim [1 ]
机构：
[1] Payame Noor Univ PNU, Dept Math, POB 19395-4697, Tehran, Iran
来源：
ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES | 2023年 / 50卷 / 01期
关键词：
Convex function; Jensen inequality; Hermite-Hadamard inequality;
D O I：
10.52846/ami.v50i1.1631
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main result of this paper is to give refinement and reverse the celebrated Jensen inequality. We directly apply our results to establish several weighted arithmetic -geometric mean inequality. We also present a stronger estimate for the first inequality in the Hermite-Hadamard inequality.
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页码：91 / 98
页数：8
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