On Conformable Fractional Milne-Type Inequalities-Reference-Cited by-同舟云学术

On Conformable Fractional Milne-Type Inequalities

Published:2024-02-07 Issue:2 Volume:16 Page:196
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Ying Rui¹,Lakhdari Abdelghani²^ORCID,Xu Hongyan³^ORCID,Saleh Wedad⁴,Meftah Badreddine⁵

Affiliation:

1. Basic Department, Shangrao Preschool Education College, Shangrao 334001, China

2. Departement CPST, National Higher School of Technology and Engineering, Annaba 23005, Algeria

3. School of Mathematics and Computer Science, Gannan Normal University, Ganzhou 341000, China

4. Department of Mathematics, Taibah University, Al Medinah 42353, Saudi Arabia

5. Laboratory of Analysis and Control of Differential Equations ‘ACED’, Department of Mathematics, University of 8 May 1945, Guelma 24000, Algeria

Abstract

Building upon previous research in conformable fractional calculus, this study introduces a novel identity. Using this identity as a foundation, we derive a set of conformable fractional Milne-type inequalities specifically designed for differentiable convex functions. The obtained results recover some existing inequalities in the literature by fixing some parameters. These novel contributions aim to enrich the analytical tools available for studying convex functions within the realm of conformable fractional calculus. The derived inequalities reflect an inherent symmetry characteristic of the Milne formula, further illustrating the balanced and harmonious mathematical structure within these frameworks. We provide a thorough example with graphical representations to support our findings, offering both numerical insights and visual confirmation of the established inequalities.

Publisher

MDPI AG

Link

https://www.mdpi.com/2073-8994/16/2/196/pdf

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