| dc.contributor.author |
Yue, Ye |
|
| dc.contributor.author |
Farid, Ghulam |
|
| dc.contributor.author |
Demirel, Ayse Kubra |
|
| dc.contributor.author |
Nazeer, Waqas |
|
| dc.contributor.author |
Zhao, Yinghui |
|
| dc.date.accessioned |
2024-03-26T06:55:20Z |
|
| dc.date.available |
2024-03-26T06:55:20Z |
|
| dc.date.issued |
2022 |
|
| dc.identifier.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 |
en_US |
| dc.identifier.issn |
2473-6988 |
|
| dc.identifier.uri |
http://dx.doi.org/10.3934/math.2022043 |
|
| dc.identifier.uri |
https://www.webofscience.com/wos/woscc/full-record/WOS:000718878200035 |
|
| dc.identifier.uri |
http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/5251 |
|
| dc.description |
WoS Categories: Mathematics, Applied; Mathematics |
en_US |
| dc.description |
Web of Science Index: Science Citation Index Expanded (SCI-EXPANDED) |
en_US |
| dc.description |
Research Areas: Mathematics |
en_US |
| dc.description.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. |
en_US |
| dc.language.iso |
eng |
en_US |
| dc.publisher |
AMER INST MATHEMATICAL SCIENCES-AIMS-SPRINGFIELD |
en_US |
| dc.relation.isversionof |
10.3934/math.2022043 |
en_US |
| dc.rights |
info:eu-repo/semantics/openAccess |
en_US |
| dc.subject |
Hadamard inequality, Fejer-Hadamard inequality, convex function, p-convex function, k-fractional integrals, Mittag-Leffler function |
en_US |
| dc.title |
Hadamard and Fejer-Hadamard inequalities for generalized k-fractional integrals involving further extension of Mittag-Leffler function |
en_US |
| dc.type |
article |
en_US |
| dc.relation.journal |
AIMS MATHEMATICS |
en_US |
| dc.contributor.department |
Ordu Üniversitesi |
en_US |
| dc.contributor.authorID |
0000-0002-4103-7745 |
en_US |
| dc.identifier.volume |
7 |
en_US |
| dc.identifier.issue |
1 |
en_US |
| dc.identifier.startpage |
681 |
en_US |
| dc.identifier.endpage |
703 |
en_US |