Schur-power convexity of integral mean for convex functions on the coordinates

被引：0
|
作者：
Shi, Huannan [2 ]
Zhang, Jing [1 ]
机构：
[1] Beijing Union Univ, Inst Fundamental & Interdisciplinary Sci, Beijing 100101, Peoples R China
[2] Beijing Union Univ, Teachers Coll, Dept Elect Informat, Beijing 100011, Peoples R China
来源：
OPEN MATHEMATICS | 2023年 / 21卷 / 01期
关键词：
Schur-geometric convexity; Schur-harmonic convexity; monotonicity; Schur-power convexity; convex functions on the coordinates; inequality; binary means; HARMONIC CONVEXITIES; INEQUALITY; RECTANGLE;
D O I：
10.1515/math-2023-0157
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we investigate the concepts of monotonicity, Schur-geometric convexity, Schur-harmonic convexity, and Schur-power convexity for the lower and upper limits of the integral mean, focusing on convex functions on coordinate axes. Furthermore, we introduce novel and fascinating inequalities for binary means as a practical application.
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页数：9
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