关于可微一致凸映射的一些不等式及其应用

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-02-06 DOI:10.1080/01630563.2023.2174989

H. Barsam, Y. Sayyari

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引用次数: 2

摘要

摘要众所周知的hermite-hadamard-Fejer型不等式在数学分析领域占有重要地位。许多研究者对这些不等式进行了研究。对于一类特殊的一致凸函数，我们得到了与Hermite-Hadamard不等式有关的几个不等式。我们也给出了这些不等式在一些随机变量的高矩误差估计中的应用。

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On Some Inequalities of Differentiable Uniformly Convex Mapping with Applications

Abstract The widely known hermite-hadamard-Fejer type inequalities are so important in the field of mathematical analysis. Many researchers have studied on these inequalities. In this paper, we have obtained several inequalities related to the Hermite-Hadamard inequality for a special class of the functions called uniformly convex functions. We have also presented applications of these obtained inequalities in some error estimates for higher moments of random variables.

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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.