| dc.contributor.author |
Gurbuz, Mustafa |
|
| dc.contributor.author |
Set, Erhan |
|
| dc.contributor.author |
Tasdan, Yakup |
|
| dc.date.accessioned |
2022-08-17T05:19:23Z |
|
| dc.date.available |
2022-08-17T05:19:23Z |
|
| dc.date.issued |
2020 |
|
| dc.identifier.uri |
http://doi.org/10.1186/s13660-020-02418-5 |
|
| dc.identifier.uri |
http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2236 |
|
| dc.description.abstract |
The primary objective of this study is to handle new generalized Hermite-Hadamard type inequalities with the help of the Katugampola fractional integral operator, which generalizes the Hadamard and Riemann-Liouville fractional integral operators into one system. In order to do this, a new fractional integral identity is obtained. Then, by using this identity, some inequalities for the class of functions whose derivatives in absolute values at certain powers are rho-convex are derived. It is observed that the obtained inequalities are generalizations of some results in the literature. |
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/s13660-020-02418-5 |
en_US |
| dc.rights |
info:eu-repo/semantics/openAccess |
en_US |
| dc.subject |
Katugampola fractional integrals; Hadamard type inequalities; rho-convex functions |
en_US |
| dc.title |
Some inequalities obtained by fractional integrals of positive real orders |
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 |
0000-0002-7092-4298 |
en_US |
| dc.contributor.authorID |
0000-0003-1364-5396 |
en_US |
| dc.identifier.volume |
2020 |
en_US |
| dc.identifier.issue |
1 |
en_US |