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Title: | General inequalities related Hermite-Hadamard inequality for generalized fractional integrals |
Authors: | Gozpinar, Abdurrahman Kavurmac-Onalan, Havva Set, Erhan Ordu Üniversitesi |
Keywords: | Hermite-Hadamard inequality; Riemann-Liouville fractional integral; fractional integral operator |
Issue Date: | 2019 |
Publisher: | UNIV BABES-BOLYAI, MIHAIL KOGALNICEANU NR. 1, CLUJ-NAPOCA RO-3400, ROMANIA |
Abstract: | In this article, we first establish a new general integral identity for differentiable functions with the help of generalized fractional integral operators introduced by Raina [8] and Agarwal et al. [1]. As a second, by using this identity we obtain some new fractional Hermite-Hadamard type inequalities for functions whose absolute values of first derivatives are convex. Relevant connections of the results presented here with those involving Riemann-Liouville fractional integrals are also pointed out. |
URI: | http://doi.org/10.24193/subbmath.2019.4.01 http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2372 |
Appears in Collections: | Matematik |
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