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http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2201| Title: | Generalized Hermite-Hadamard type inequalities involving fractional integral operators |
| Authors: | Awan, Muhammed Uzair Gozpinar, Abdurrahman Noor, Muhammed Aslam Set, Erhan Ordu Üniversitesi 0000-0001-6105-2435 0000-0002-1019-9485 0000-0003-1364-5396 |
| Keywords: | CONVEX-FUNCTIONS Hermite-Hadamard inequality; convex function; Holder inequality; fractional integral operator |
| Issue Date: | 2017 |
| Publisher: | SPRINGER INTERNATIONAL PUBLISHING AG, GEWERBESTRASSE 11, CHAM, CH-6330, SWITZERLAND |
| Abstract: | In this article, a new general integral identity involving generalized fractional integral operators is established. With the help of this identity new Hermite-Hadamard type inequalities are obtained for functions whose absolute values of derivatives are convex. As a consequence, the main results of this paper generalize the existing Hermite-Hadamard type inequalities involving the Riemann-Liouville fractional integral. |
| URI: | http://doi.org/10.1186/s13660-017-1444-6 http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2201 |
| Appears in Collections: | Matematik |
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