Fractional Maclaurin-Type Inequalities for Multiplicatively Convex Functions-Reference-Cited by-同舟云学术

Fractional Maclaurin-Type Inequalities for Multiplicatively Convex Functions

Published:2023-12-12 Issue:12 Volume:7 Page:879
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Merad Meriem¹,Meftah Badreddine²,Moumen Abdelkader³,Bouye Mohamed⁴

Affiliation:

1. Faculty MISM, Department of Mathematics, University of 8 May 1945 Guelma, P.O. Box 401, Guelma 24000, Algeria

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

3. Department of Mathematics, College of Science, University of Ha’il, Ha’il 55473, Saudi Arabia

4. Mathematics Department, College of Sciences, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia

Abstract

This paper’s major goal is to prove some symmetrical Maclaurin-type integral inequalities inside the framework of multiplicative calculus. In order to accomplish this and after giving some basic tools, we have established a new integral identity. Based on this identity, some symmetrical Maclaurin-type inequalities have been constructed for functions whose multiplicative derivatives are bounded as well as convex. At the end, some applications to special means are provided.

Funder

King Khalid University

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/12/879/pdf

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