On Fractional Ostrowski-Mercer-Type Inequalities and Applications-Reference-Cited by-同舟云学术

On Fractional Ostrowski-Mercer-Type Inequalities and Applications

Published:2023-10-31 Issue:11 Volume:15 Page:2003
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Ramzan Sofia¹^ORCID,Awan Muhammad Uzair¹^ORCID,Vivas-Cortez Miguel²^ORCID,Budak Hüseyin³

Affiliation:

1. Department of Mathematics, Government College University, Faisalabad 38000, Pakistan

2. Escuela de Ciencias Físicas y Matemáticas, Facultad de Ciencias Exactas y Naturales, Pontificia Universidad Católica del Ecuador, Av. 12 de Octubre 1076, Apartado, Quito 17-01-2184, Ecuador

3. Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce 81620, Turkey

Abstract

The objective of this research is to study in detail the fractional variants of Ostrowski–Mercer-type inequalities, specifically for the first and second order differentiable s-convex mappings of the second sense. To obtain the main outcomes of the paper, we leverage the use of conformable fractional integral operators. We also check the numerical validations of the main results. Our findings are also validated through visual representations. Furthermore, we provide a detailed discussion on applications of the obtained results related to special means, q-digamma mappings, and modified Bessel mappings.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/11/2003/pdf

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