| dc.contributor.author |
Alan, E. Aykan |
|
| dc.contributor.author |
Gozpinar, Abdurrahman |
|
| dc.contributor.author |
Set, Erhan |
|
| dc.date.accessioned |
2022-08-17T05:29:02Z |
|
| dc.date.available |
2022-08-17T05:29:02Z |
|
| dc.date.issued |
2018 |
|
| dc.identifier.uri |
http://doi.org/10.1002/pts.2483 |
|
| dc.identifier.uri |
http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/2298 |
|
| dc.description.abstract |
In this study, firstly, we prove a new identity for symmetrized convex functions via generalized fractional integral operators. Secondly, with the help of these identities, some new Ilermite-Iladamard type inequalities for some classes of sytnmetrized convex function and Wright-quasi-convex functions are obtained. The main results generalize the existing Elermite-Hadamard type inequalities for symmetrized convex functions involving Riemann-Liouville fractional integrals. Finally, some results in this study, in some special cases, such as setting lambda=alpha, sigma(0) = 1 and w = 0, are found to yield the same results as previous works which studied by Dragomir in [3]. |
en_US |
| dc.language.iso |
eng |
en_US |
| dc.publisher |
AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA |
en_US |
| dc.relation.isversionof |
10.1063/1.5047883 |
en_US |
| dc.rights |
info:eu-repo/semantics/openAccess |
en_US |
| dc.title |
Generalized Fractional Integral Inequalities for Some Classes of Symmetrized Convex Functions |
en_US |
| dc.type |
article |
en_US |
| dc.relation.journal |
1ST INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES (ICMRS 2018) |
en_US |
| dc.contributor.department |
Ordu Üniversitesi |
en_US |
| dc.contributor.authorID |
0000-0003-1364-5396 |
en_US |
| dc.identifier.volume |
1991 |
en_US |