加权Hermite-Hadamard不等式的改进及其在均值不等式中的应用

IF 1.1 3区数学 Q1 MATHEMATICS

Journal of Mathematical Inequalities Pub Date : 2022-12-03 DOI:10.7153/jmi-2023-17-50

S. Furuichi, Nicucsor Minculete, H. Moradi

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

Journal of Mathematical Inequalities MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.90

自引率

3.40%

发文量

审稿时长

6-12 weeks

期刊介绍： The ''Journal of Mathematical Inequalities'' (''JMI'') presents carefully selected original research articles from all areas of pure and applied mathematics, provided they are concerned with mathematical inequalities and their numerous applications. ''JMI'' will also periodically publish invited survey articles and short notes with interesting results treating the theory of inequalities, as well as relevant book reviews. Only articles written in the English language and in a lucid, expository style will be considered for publication. ''JMI'' primary audience are pure mathematicians, applied mathemathicians and numerical analysts. ''JMI'' is published quarterly; in March, June, September, and December.