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http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2193| Title: | CERTAIN GENERALIZED OSTROWSKI TYPE INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS |
| Authors: | Choi, Junesang Set, Erhan Tomar, Muharrem Ordu Üniversitesi 0000-0003-1364-5396 |
| Keywords: | local fractional calculus; Hermite-Hadamard inequality; generalized convex functions; Holder's inequality; generalized Ostrowski inequality |
| Issue Date: | 2017 |
| Publisher: | KOREAN MATHEMATICAL SOC, KOREA SCIENCE TECHNOLOGY CTR 202, 635-4 YEOKSAM-DONG, KANGNAM-KU, SEOUL 135-703, SOUTH KOREA |
| Abstract: | We give a function associated with generalized Ostrowski type inequality and its integral representation for local fractional calculus. Then, using this function and its integral representation, we establish several inequalities of generalized Ostrowski type for twice local fractional differentiable functions. We also consider some special cases of the main results which are further applied to a concrete function to yield two interesting inequalities associated with two generalized means. |
| URI: | http://doi.org/10.4134/CKMS.c160145 http://koreascience.or.kr/article/JAKO201723839838340.page http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2193 |
| Appears in Collections: | Matematik |
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