Work

A parametrized approach to generalized fractional integral inequalities: Hermite–Hadamard and Maclaurin variants

Year: 2024

Type: article

Abstract: This paper introduces a novel parametrized integral identity that forms the basis for deriving a comprehensive class of generalized fractional integral inequalities. Building on recent advancements in fractional calculus, particularly in conformable fractional integrals, our approach offers a unified framework for various known inequalities. The novelty of this work lies in its ability to generate new and more general inequalities, including Hermite-Hadamard-, Maclaurin-, and corrected Maclaurin-type inequalities, by selecting specific parameter values. These results extend the scope of fractional integral inequalities and provide new insights into their structure. To demonstrate the practical applicability and accuracy of the theoretical findings, we present a detailed numerical example along with graphical representations.

Source: Journal of King Saud University - Science

DOI: 10.1016/j.jksus.2024.103523

Authors: Abdelghani Lakhdari, Bandar Bin-Mohsin, Fahd Jarad, Hongyan Xu, Badreddine Meftah

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $1,600

Funder: King Saud University

OpenAlex ID: W4404323135

FWCI: 15.27

Cites: 26

Cited by: 20

Related to: 10