坐标上凸函数的积分均值的schur幂凸性

IF 1 4区数学 Q1 MATHEMATICS

Open Mathematics Pub Date : 2023-12-01 DOI:10.1515/math-2023-0157

Huannan Shi, Jing Zhang

引用次数: 0

摘要

在本文中，我们研究了积分均值下界和上界的单调性、schur -几何凸性、schur -调和凸性和schur -幂凸的概念，重点研究了坐标轴上的凸函数。此外，作为实际应用，我们引入了新颖而有趣的二元均值不等式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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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来源期刊

Open Mathematics MATHEMATICS-

CiteScore

2.40

自引率

5.90%

发文量

审稿时长

16 weeks

期刊介绍： Open Mathematics - formerly Central European Journal of Mathematics Open Mathematics is a fully peer-reviewed, open access, electronic journal that publishes significant, original and relevant works in all areas of mathematics. The journal provides the readers with free, instant, and permanent access to all content worldwide; and the authors with extensive promotion of published articles, long-time preservation, language-correction services, no space constraints and immediate publication. Open Mathematics is listed in Thomson Reuters - Current Contents/Physical, Chemical and Earth Sciences. Our standard policy requires each paper to be reviewed by at least two Referees and the peer-review process is single-blind. Aims and Scope The journal aims at presenting high-impact and relevant research on topics across the full span of mathematics. Coverage includes: