Work

On Fractional Simpson-Type Inequalities via Harmonic Convexity

Year: 2025

Type: article

Abstract: In this paper, we establish some Simpson-type inequalities within the framework of Riemann–Liouville fractional calculus, specifically tailored for differentiable harmonically convex functions. By introducing a novel fractional integral identity for differentiable functions with harmonic arguments, we derive several estimates that generalize and refine existing results in the literature. The theoretical findings are validated through a numerical example supported by graphical illustration, and potential applications in approximation theory and numerical analysis are discussed.

Source: Mathematics

DOI: 10.3390/math13233778

Authors: Li Liao, Abdelghani Lakhdari, Hongyan Xu, Badreddine Meftah

Institutions: Yichun University, National Higher School of Technology and Engineering Annaba, Kocaeli Üniversitesi, Shangrao Normal University, Suqian University, University of Guelma

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

OpenAlex ID: W4416624353

FWCI: 1.924

Cites: 11

Cited by: 1

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