Weighted Hermite-Hadamard-type inequalities for generalizations of Steffensen’s inequality via the extension of Mongomery identity

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.2298/aadm220523015p

Josip Pecaric, Anamarija Perusic-Pribanic, Ksenija Smoljak-Kalamir

引用次数: 0

Abstract

In this paper, we obtain some new weighted Hermite-Hadamard-type inequalities which involve generalizations of Steffensen?s inequality obtained by using the extension of Montgomery identity via Taylor?s formula. Further, we show that by using the extension of Montgomery identity via Fink?s identity we can obtain some other weighted Hermite-Hadamard-type inequalities.

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通过montgomery恒等式推广Steffensen不等式的加权hermite - hadamard型不等式

在本文中，我们得到了一些新的加权hermite - hadamard型不等式，这些不等式涉及Steffensen?由Taylor推广Montgomery恒等式得到的不等式?年代的公式。进一步，我们通过Fink?我们可以得到一些其他的加权hermite - hadamard型不等式。

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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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.