On Hermite-Hadamard type Inequalities for Proportional Caputo-Hybrid Operator

Year 2023, Volume: 11 Issue: 1, 31 - 39, 30.04.2023

Mehmet Zeki Sarıkaya

Abstract

In this study, we present a new generalization of the Hermite-Hadamard type inequalities for convex functions via proportional Caputo-hybrid operator. Also, we give some new inequalities for proportional Caputo-hybrid operator using a newly developed generalized an identity, which is rigorously proven.

Keywords

Convex function, Caputo fractional derivative, Riemann-Liouville integral and Hermite-Hadamard inequality

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