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http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/5251| Title: | Hadamard and Fejer-Hadamard inequalities for generalized k-fractional integrals involving further extension of Mittag-Leffler function |
| Authors: | Yue, Ye Farid, Ghulam Demirel, Ayse Kubra Nazeer, Waqas Zhao, Yinghui Ordu Üniversitesi 0000-0002-4103-7745 |
| Keywords: | Hadamard inequality, Fejer-Hadamard inequality, convex function, p-convex function, k-fractional integrals, Mittag-Leffler function |
| Issue Date: | 2022 |
| Publisher: | AMER INST MATHEMATICAL SCIENCES-AIMS-SPRINGFIELD |
| Citation: | Yue, Y., Farid, G., Demirel, AK., Nazeer, W., Zhao, YH. (2022). Hadamard and Fejer-Hadamard inequalities for generalized k-fractional integrals involving further extension of Mittag-Leffler function. AIMS Math., 7(1), 681-703. https://doi.org/10.3934/math.2022043 |
| Abstract: | In this paper, k-fractional integral operators containing further extension of Mittag-Leffler function are defined firstly. Then, the first and second version of Hadamard and Fejer-Hadamard inequalities for generalized k-fractional integrals are obtained. Finally, by using these generalized k-fractional integrals containing Mittag-Leffler functions, results for p-convex functions are obtained. The results for convex functions can be deduced by taking p = 1. |
| Description: | WoS Categories: Mathematics, Applied; Mathematics Web of Science Index: Science Citation Index Expanded (SCI-EXPANDED) Research Areas: Mathematics |
| URI: | http://dx.doi.org/10.3934/math.2022043 https://www.webofscience.com/wos/woscc/full-record/WOS:000718878200035 http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/5251 |
| ISSN: | 2473-6988 |
| Appears in Collections: | Matematik |
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