dc.contributor.author |
Kashuri, Artion |
|
dc.contributor.author |
Farid, Ghulam |
|
dc.contributor.author |
Set, Erhan |
|
dc.date.accessioned |
2023-01-06T11:36:52Z |
|
dc.date.available |
2023-01-06T11:36:52Z |
|
dc.date.issued |
2021 |
|
dc.identifier.citation |
Kashuri, A., Farid, G., Set, E. (2021). New generalized trapezoidal type integral inequalities with applications. Journal of Applied Analysis, 27(1), 35-46.Doi:10.1515/jaa-2020-2028 |
en_US |
dc.identifier.isbn |
1425-6908 |
|
dc.identifier.isbn |
1869-6082 |
|
dc.identifier.uri |
http://dx.doi.org/10.1515/jaa-2020-2028 |
|
dc.identifier.uri |
https://www.webofscience.com/wos/woscc/full-record/WOS:000659322900003 |
|
dc.identifier.uri |
http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/3538 |
|
dc.description |
WoS Categories : Mathematics, Applied
Web of Science Index : Emerging Sources Citation Index (ESCI)
Research Areas : Mathematics |
en_US |
dc.description.abstract |
Trapezoidal inequalities for functions of diverse nature are useful in numerical computations. The authors have proved an identity for a generalized integral operator via a differentiable function. By applying the established identity, the generalized trapezoidal type integral inequalities have been discovered. It is pointed out that the results of this research provide integral inequalities for almost all fractional integrals discovered in the recent decades. Various special cases have been identified. Some applications of presented results have been analyzed. |
en_US |
dc.language.iso |
eng |
en_US |
dc.publisher |
WALTER DE GRUYTER GMBH BERLIN |
en_US |
dc.relation.isversionof |
10.1515/jaa-2020-2028 |
en_US |
dc.rights |
info:eu-repo/semantics/openAccess |
en_US |
dc.subject |
HADAMARD TYPE INEQUALITIES; FEJER TYPE INEQUALITIES; HERMITE-HADAMARD; CONVEX-FUNCTIONS |
en_US |
dc.subject |
Hermite-Hadamard inequality; preinvexity; general fractional integrals |
en_US |
dc.title |
New generalized trapezoidal type integral inequalities with applications |
en_US |
dc.type |
article |
en_US |
dc.relation.journal |
JOURNAL OF APPLIED ANALYSIS |
en_US |
dc.contributor.department |
Ordu Üniversitesi |
en_US |
dc.contributor.authorID |
0000-0003-1364-5396 |
en_US |
dc.identifier.volume |
27 |
en_US |
dc.identifier.issue |
1 |
en_US |
dc.identifier.startpage |
35 |
en_US |
dc.identifier.endpage |
46 |
en_US |