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Exploring the Companion of Ostrowski’s Inequalities via Local Fractional Integrals.

Authors :
Saleh, Wedad
Meftah, Badreddine
Lakhdari, Abdelghani
Kiliçman, Adem
Source :
European Journal of Pure & Applied Mathematics. Jul2023, Vol. 16 Issue 3, p1359-1380. 22p.
Publication Year :
2023

Abstract

This paper investigates the companion of Ostrowski’s inequality in the framework of fractal sets. First, a new identity related to local fractional integrals is introduced, serving as the foundation for establishing a set of inequalities applicable to functions with generalized sconvex and s-concave derivatives. An illustrative example is presented to validate the obtained results, demonstrating their accuracy. Additionally, the paper discusses several practical applications, highlighting the significance of the established inequalities. The research presented in this paper contributes to the growing field of studying functions on fractal sets, which has attracted considerable interest from scientists and engineers. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
13075543
Volume :
16
Issue :
3
Database :
Academic Search Index
Journal :
European Journal of Pure & Applied Mathematics
Publication Type :
Academic Journal
Accession number :
169896439
Full Text :
https://doi.org/10.29020/nybg.ejpam.v16i3.4850