Advancements in integral inequalities of Ostrowski type via modified Atangana-Baleanu fractional integral operator.

IF 3.4 3区综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES

Heliyon Pub Date : 2025-01-02 eCollection Date: 2025-01-15 DOI:10.1016/j.heliyon.2024.e41525

Gauhar Rahman, Muhammad Samraiz, Kamal Shah, Thabet Abdeljawad, Yasser Elmasry

引用次数: 0

Abstract

Convexity and fractional integral operators are closely related due to their fascinating properties in the mathematical sciences. In this article, we first establish an identity for the modified Atangana-Baleanu (MAB) fractional integral operators. Using this identity, we then apply Jensen integral inequality, Young's inequality, power-mean inequality, and Hölder inequality to prove several new generalizations of Ostrowski type inequality for the convexity of $| ℵ |$ . From the primary findings, we also deduced a few new special cases. The results of this investigation are expected to indicate new advances in the study of fractional integral inequalities.

查看原文本刊更多论文

利用改进的Atangana-Baleanu分数阶积分算子研究Ostrowski型积分不等式的进展。

在数学科学中，凸性算子和分数积分算子有着密切的联系。本文首先建立了修正Atangana-Baleanu （MAB）分数阶积分算子的恒等式。在此基础上，应用Jensen积分不等式、Young不等式、幂均不等式和Hölder不等式证明了Ostrowski型不等式关于| λ |的凸性的几个新推广。根据初步发现，我们还推断出一些新的特殊情况。这一研究结果将预示着分数阶积分不等式研究的新进展。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Heliyon MULTIDISCIPLINARY SCIENCES-

CiteScore

4.50

自引率

2.50%

发文量

2793

期刊介绍： Heliyon is an all-science, open access journal that is part of the Cell Press family. Any paper reporting scientifically accurate and valuable research, which adheres to accepted ethical and scientific publishing standards, will be considered for publication. Our growing team of dedicated section editors, along with our in-house team, handle your paper and manage the publication process end-to-end, giving your research the editorial support it deserves.