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Title: | Ostrowski type inequalities via new fractional conformable integrals |
Authors: | Akdemir, Ahmet Ocak Gozpinar, Abdurrahman Jarad, Fahd Set, Erhan Ordu Üniversitesi 0000-0003-1364-5396 0000-0003-2466-0508 |
Keywords: | s-convex function; Hermite-Hadamard inequality; fractional conformable integral |
Issue Date: | 2019 |
Publisher: | AMER INST MATHEMATICAL SCIENCES-AIMS, PO BOX 2604, SPRINGFIELD, MO 65801-2604 USA |
Abstract: | In this present study, firstly, some necessary definitions and some results related to Riemann-Liouville fractional and new fractional conformable integral operators defined by Jarad et al. [13] are given. As a second, a new identity has been proved. By using this identity, new Ostrowski type inequalities has obtained involving fractional conformable integral operators. Also, some new inequalities has established for AG-convex functions via fractional conformable integrals in this study. Relevant connections of the results presented here with those earlier ones are also pointed out. |
URI: | http://doi.org/10.3934/math.2019.6.1684 http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2364 |
Appears in Collections: | Matematik |
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