Convexity with respect to strictly monotone function and Riemann-Liouville fractional Fejér-Hadamard inequalities

Shuang-Shuang Zhou; Ghulam Farid; Chahn Yong Jung

doi:https://doi.org/10.3934/math.2021409

doi.org/10.3934/math.2021409

Convexity with respect to strictly monotone function and Riemann-Liouville fractional Fejér-Hadamard inequalities

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Volume: 6, Issue: 7, Pages: 6975 - 6985

Published: Jan 1, 2021

Abstract

In this paper we study the Fejér-Hadamard inequalities for convex function with respect to a strictly monotone function. We establish two inequalities for convex function with respect to a strictly monotone function via Riemann-Liouville fractional integrals. From inequalities found here many new results can be derived by selecting specific strictly monotone and weight functions. Also a variety of existing Fejér-Hadamard and Hadamard...

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Paper Details

Title

Convexity with respect to strictly monotone function and Riemann-Liouville fractional Fejér-Hadamard inequalities

DOI

doi.org/10.3934/math.2021409

Published Date

Jan 1, 2021

Journal

AIMS mathematics

Volume

6

Issue

7

Pages

6975 - 6985

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