| dc.contributor.author |
Akdemir, Ahmet Ocak |
|
| dc.contributor.author |
Gurbuz, Mustafa |
|
| dc.contributor.author |
Rashid, Saima |
|
| dc.contributor.author |
Set, Erhan |
|
| dc.date.accessioned |
2022-08-17T05:19:46Z |
|
| dc.date.available |
2022-08-17T05:19:46Z |
|
| dc.date.issued |
2020 |
|
| dc.identifier.uri |
http://doi.org/10.1186/s13660-020-02438-1 |
|
| dc.identifier.uri |
http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2239 |
|
| dc.description.abstract |
In this article, firstly, Hermite-Hadamard's inequality is generalized via a fractional integral operator associated with the Caputo-Fabrizio fractional derivative. Then a new kernel is obtained and a new theorem valid for convex functions is proved for fractional order integrals. Also, some applications of our main findings are given. |
en_US |
| dc.language.iso |
eng |
en_US |
| dc.publisher |
SPRINGER, ONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES |
en_US |
| dc.relation.isversionof |
10.1186/s13660-020-02438-1 |
en_US |
| dc.rights |
info:eu-repo/semantics/openAccess |
en_US |
| dc.subject |
Caputo-Fabrizio Fractional integral; Convexity |
en_US |
| dc.title |
Hermite-Hadamard inequality for fractional integrals of Caputo-Fabrizio type and related inequalities |
en_US |
| dc.type |
article |
en_US |
| dc.relation.journal |
JOURNAL OF INEQUALITIES AND APPLICATIONS |
en_US |
| dc.contributor.department |
Ordu Üniversitesi |
en_US |
| dc.contributor.authorID |
0000-0003-1364-5396 |
en_US |
| dc.identifier.volume |
2020 |
en_US |
| dc.identifier.issue |
1 |
en_US |