Some Novel Fractional Integral Inequalities for Exponentially Convex Functions

Year 2024, Volume: 10 Issue: 1, 1 - 6, 30.06.2024

Sinan Aslan , Ahmet Ocak Akdemir

Abstract

There are several studies in the literature with the main motivation of obtaining new and general inequalities with the help of the Caputo-Fabrizio fractional integral operator, which attracts the attention of many researchers as an important concept in fractional analysis. In this study, new Hadamard type integral inequalities for exponentially convex functions are presented. The findings were obtained by the properties of the class of the function, the structure of the operator and the basic analysis method.

Keywords

Caputo-Fabrizio fractional integral operator, Exponantially convex functions, Hölder inequality, Young inequality

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