On Fejer Type Inequalities for Convex Mappings Utilizing Fractional Integrals of a Function with Respect to Another Function

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Budak H.

RESULTS IN MATHEMATICS, no.1, 2019 (SCI-Expanded)

• Publication Type: Article / Article
• Publication Date: 2019
• Doi Number: 10.1007/s00025-019-0960-8
• Journal Name: RESULTS IN MATHEMATICS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
• Kocaeli University Affiliated: No

Abstract

In this work, we first establish Hermite-Hadamard-Fejer type inequalities for convex function involving fractional integrals with respect to another function which are generalization of some important fractional integrals such as the Riemann-Liouville fractional integrals and the Hadamard fractional integrals. Moreover, we obtain some trapezoid type inequalities for these kind of fractional integrals. The results given in this paper provide generalization of several inequalities obtained in earlier studies.