坐标上凸函数的积分均值的schur幂凸性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research 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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.