New General Inequalities For Exponential Type Convex Function

Year 2023, Volume: 8 Issue: 1, 11 - 18, 03.05.2023

Çetin Yıldız , Emre Bakan , Hüseyin Dönmez

Abstract

In this paper, we introduce the concept of an exponential type convex function. We establish new integral inequalities of the Hermite-Hadamard type by using the Power-Mean and Hölder Inequalities. Additionally, we give the Riemann-Liouville fractional integrals definitions. We use these Riemann-Liouville fractional integrals to establish a new integral inequality for exponential type convex function.

Keywords

Convex function, Exponential type convexity, Hermite-Hadamard inequalities

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