An extension of Schweitzer's inequality to Riemann-Liouville fractional integral

IF 1 4区数学 Q1 MATHEMATICS

Open Mathematics Pub Date : 2024-08-26 DOI:10.1515/math-2024-0043

Thabet Abdeljawad, Badreddine Meftah, Abdelghani Lakhdari, Manar A. Alqudah

引用次数: 0

Abstract

This note focuses on establishing a fractional version akin to the Schweitzer inequality, specifically tailored to accommodate the left-sided Riemann-Liouville fractional integral operator. The Schweitzer inequality is a fundamental mathematical expression, and extending it to the fractional realm holds significance in advancing our understanding and applications of fractional calculus.

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将施韦策不等式推广到黎曼-刘维尔分数积分

本注释的重点是建立一个类似于施韦策不等式的分数版本，特别是为适应左侧黎曼-刘维尔分数积分算子而量身定做的。施韦策不等式是一个基本的数学表达式，将其扩展到分数领域对于促进我们对分数微积分的理解和应用具有重要意义。

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

Open Mathematics MATHEMATICS-

CiteScore

2.40

自引率

5.90%

发文量

审稿时长

16 weeks

期刊介绍： Open Mathematics - formerly Central European Journal of Mathematics Open Mathematics is a fully peer-reviewed, open access, electronic journal that publishes significant, original and relevant works in all areas of mathematics. The journal provides the readers with free, instant, and permanent access to all content worldwide; and the authors with extensive promotion of published articles, long-time preservation, language-correction services, no space constraints and immediate publication. Open Mathematics is listed in Thomson Reuters - Current Contents/Physical, Chemical and Earth Sciences. Our standard policy requires each paper to be reviewed by at least two Referees and the peer-review process is single-blind. Aims and Scope The journal aims at presenting high-impact and relevant research on topics across the full span of mathematics. Coverage includes: