On parameterized inequalities for fractional multiplicative integrals-Reference-Cited by-同舟云学术

On parameterized inequalities for fractional multiplicative integrals

Published:2024-01-01 Issue:1 Volume:57 Page:
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Zhu Wen Sheng¹,Meftah Badreddine²,Xu Hongyan³⁴,Jarad Fahd⁵,Lakhdari Abdelghani⁶

Affiliation:

1. Center of Information and Educational Technology, Gannan Normal University , Ganzhou , Jiangxi, 341000 , China

2. Department of Mathematics, Laboratory of Analysis and Control of Differential Equations “ACED,” Faculty MISM, University of 8 May 1945 Guelma , P.O. Box 401 , 24000 Guelma , Algeria

3. School of Arts and Sciences, Suqian University , Suqian , Jiangsu 223800 , P. R. China

4. School of Mathematics and Computer Science, Shangrao Normal University , Shangrao Jiangxi , 334001 , P. R. China

5. Department of Mathematics, Çankaya University , 06790 Ankara , Turkey

6. Department CPST, National Higher School of Technology and Engineering , Annaba 23005 , Algeria

Abstract

Abstract In this article, we present a one-parameter fractional multiplicative integral identity and use it to derive a set of inequalities for multiplicatively

-convex mappings. These inequalities include new discoveries and improvements upon some well-known results. Finally, we provide an illustrative example with graphical representations, along with some applications to special means of real numbers within the domain of multiplicative calculus.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/dema-2023-0155/pdf

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