The sharper version for generalized power mean inequalities with negative exponent

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.7153/jmi-2023-17-07

R. Tinaztepe, G. Tinaztepe, Zeynep Eken, Sevda Sezer, S. Kemali, Ilknur Yesilce Isik, S. S. Evcan

引用次数: 1

Abstract

. In this study, the generalized power mean inequalities with a negative parameter are re ﬁ ned using an optimality theorem on the generator function. The optimality theorem requires the study of different cases for the exponents and yields a re ﬁ nement of the inequality in a neighbourhood of the vectors for which the equality occurs. Then, these local inequalities are generalized to all positive vectors by an appropriate selection of parameters. Also, some of the results are exempli ﬁ ed by numerical calculations.

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对于具有负指数的广义幂平均不等式的更清晰的版本

。本文利用生成函数的最优性定理，重新定义了带负参数的广义幂平均不等式。最优性定理要求对指数的不同情况进行研究，并给出了在不等式存在的向量的邻域中不等式的一个重新定义。然后，通过适当选择参数，将这些局部不等式推广到所有正向量。并对部分结果进行了数值算例验证。

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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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.