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

IF 1 4区数学 Q1 MATHEMATICS

Applicable Analysis and Discrete Mathematics 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

Applicable Analysis and Discrete Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： Applicable Analysis and Discrete Mathematics is indexed, abstracted and cover-to cover reviewed in: Web of Science, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), Mathematical Reviews/MathSciNet, Zentralblatt für Mathematik, Referativny Zhurnal-VINITI. It is included Citation Index-Expanded (SCIE), ISI Alerting Service and in Digital Mathematical Registry of American Mathematical Society (http://www.ams.org/dmr/).