On refinements of Hermite-Hadamard type inequalities for Riemann-Liouville fractional integral operators

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BUDAK H.

International Journal of Optimization and Control: Theories and Applications, vol.9, no.1, pp.41-48, 2019 (Scopus, TRDizin)

• Publication Type: Article / Article
• Volume: 9 Issue: 1
• Publication Date: 2019
• Doi Number: 10.11121/ijocta.01.2019.00585
• Journal Name: International Journal of Optimization and Control: Theories and Applications
• Journal Indexes: Scopus, TR DİZİN (ULAKBİM)
• Page Numbers: pp.41-48
• Keywords: Convex function, Fractional integral operators, Hermite-Hadamard inequality
• Kocaeli University Affiliated: No

Abstract

In this paper, we first establish weighted versions of Hermite-Hadamard type inequalities for Riemann-Liouville fractional integral operators utilizing weighted function. Then we obtain some refinements of these inequalities. The results obtained in this study would provide generalization of inequalities proved in earlier works.