New Estimations for Quasi-Convex Functions and \((h,m)\)-Convex Functions with the Help of Caputo-Fabrizio Fractional Integral Operators

Sinan Aslan; Ahmet Ocak Akdemir

doi:10.61383/ejam.20231353

Authors

Sinan Aslan Agri Turk Telekom Social Sciences High School, Agri-Turkiye Corresponding Author
Ahmet Ocak Akdemir Department of Mathematics, Faculty of Arts and Sciences, Agri Ibrahim Cecen University, Agri, Turkiye https://orcid.org/0000-0003-2466-0508

DOI:

https://doi.org/10.61383/ejam.20231353

Keywords:

Caputo-Fabrizio fractional integral operator, Quasi-convex functions, (h,m)-convex functions, Hadamard-Type Inequalities

Abstract

The main motivation of the paper is to provide new integral inequalities for different kinds of convex functions by using a fractional integral operator with a non-singular kernel. The findings involve several new integral inequalities for quasi-convex functions and \((h,m)\)-convex functions. We have used the algebraic properties of Caputo-Fabrizio fractional operator, definitions of convex functions, and elementary analysis methods for the

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