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http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2196| Title: | ON GENERALIZATIONS RELATED TO THE LEFT SIDE OF FEJER'S INEQUALITY VIA FRACTIONAL INTEGRAL OPERATOR |
| Authors: | Celik, Baris Set, Erhan Ordu Üniversitesi 0000-0001-5372-7543 0000-0003-1364-5396 |
| Keywords: | CONVEX-FUNCTIONS Hermite-Hadamard-Fejer inequality; convex function; Holder inequality; fractional integral operator |
| Issue Date: | 2017 |
| Publisher: | UNIV MISKOLC INST MATH, MISKOLC-EGYETEMVAROS, MISKOLC, H-3515, HUNGARY |
| Abstract: | In the paper, firstly, a new fractional integral identity is obtained. Then, some new results related to the left side of Fejer's inequality for differentiable mappings whose derivatives in absolute value are convex via fractional integral operator, using this identity with fundamental inequalities such as Holder's integral inequality, power-mean inequality and triangle inequality for integral, are presented. The results presented here would provide extensions of those proved in [11]. |
| URI: | http://doi.org/10.18514/MMN.2017.2275 http://mat76.mat.uni-miskolc.hu/mnotes/article/2275 http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2196 |
| Appears in Collections: | Matematik |
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