Fractional Simpson-like Inequalities with Parameter for Differential s-tgs-Convex Functions

Meriem Merad; Badreddine Meftah; Hamid Boulares; Abdelkader Moumen; Mohamed Bouye

doi:10.3390/fractalfract7110772

Fractal and Fractional (Oct 2023)

Fractional Simpson-like Inequalities with Parameter for Differential s-tgs-Convex Functions

Meriem Merad,
Badreddine Meftah,
Hamid Boulares,
Abdelkader Moumen,
Mohamed Bouye

Affiliations

Meriem Merad: 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
Badreddine Meftah: 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
Hamid Boulares: 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
Abdelkader Moumen: Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 55425, Saudi Arabia
Mohamed Bouye: Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia

DOI: https://doi.org/10.3390/fractalfract7110772
Journal volume & issue: Vol. 7, no. 11
p. 772

Abstract

Read online

In this paper, we first prove a new parameterized identity. Based on this identity we establish some parametrized Simpson-like type symmetric inequalities, for functions whose first derivatives are s-tgs-convex via Reimann–Liouville frational operators. Some special cases are discussed. Applications to numerical quadrature are provided.

Published in Fractal and Fractional

ISSN: 2504-3110 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Physics: Heat: Thermodynamics; Science: Mathematics: Analysis
Website: http://www.mdpi.com/journal/fractalfract

About the journal

Abstract

Keywords