Work

On Fractal–Fractional Simpson-Type Inequalities: New Insights and Refinements of Classical Results

Year: 2024

Type: article

Abstract: In this paper, we introduce a novel fractal–fractional identity, from which we derive new Simpson-type inequalities for functions whose first-order local fractional derivative exhibits generalized s-convexity in the second sense. This work introduces an approach that uses the first-order local fractional derivative, enabling the treatment of functions with lower regularity requirements compared to earlier studies. Additionally, we present two distinct methodological frameworks, one of which achieves greater precision by refining classical outcomes in the existing literature. The paper concludes with several practical applications that demonstrate the utility of our results.

Source: Mathematics

DOI: 10.3390/math12243886

Authors: Fahad Alsharari, Raouf Fakhfakh, Abdelghani Lakhdari

Institutions: Jouf University, National Higher School of Technology and Engineering Annaba

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

OpenAlex ID: W4405238931

FWCI: 6.87

Cites: 50

Cited by: 9

Related to: 10