Work

Exploring the Companion of Ostrowski's Inequalities via Local Fractional Integrals

Year: 2023

Type: article

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 $s$-convex 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.

Source: European Journal of Pure and Applied Mathematics

DOI: 10.29020/nybg.ejpam.v16i3.4850

Authors: Wedad Saleh, Badreddine Meftah, Abdelghani Lakhdari, Adem Kiliçman

Institutions: Taibah University, Universiti Putra Malaysia, University of Guelma, 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: diamond

Funder: Direction Générale de la Recherche Scientifique et du Développement Technologique

Award: G5829488898