加权Hermite-Hadamard不等式的改进及其在均值不等式中的应用

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-12-03 DOI:10.7153/jmi-2023-17-50

S. Furuichi, Nicucsor Minculete, H. Moradi

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引用次数: 0

摘要

本文旨在描述加权Hermite-Hadamard不等式中出现的函数。作为所得结果的应用，我们提供了加权均值的改进不等式。对加权Hermite-Hadamard不等式进行了修正。我们的结果包含一些令人兴奋的不等式和已知结果的扩展。

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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Improvements of the weighted Hermite-Hadamard inequality and applications to mean inequality

This paper aims to characterize the function appearing in the weighted Hermite-Hadamard inequality. We provide improved inequalities for the weighted means as applications of the obtained results. Modifications of the weighted Hermite-Hadamard inequality are also presented. Our results contain some exciting inequalities and extensions of the known results.

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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.