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

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 re...

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 7; pp. 6975 - 6985
Main Authors Zhou, Shuang-Shuang, Farid, Ghulam, Jung, Chahn Yong
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
convex function
fejér-hadamard inequality
monotone function
riemann-liouville fractional integrals
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Summary: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 inequalities can be reproduced.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021409