dc.contributor.author |
Celika, Baris |
|
dc.contributor.author |
Budakb, Huseyin |
|
dc.contributor.author |
Seta, Erhan |
|
dc.date.accessioned |
2024-03-19T06:50:24Z |
|
dc.date.available |
2024-03-19T06:50:24Z |
|
dc.date.issued |
2024 |
|
dc.identifier.citation |
Çelika, B., Budakb, H., Seta, E. (2024). On generalized Milne type inequalities for new conformable fractional integrals. Filomat, 38(5), 1807-1823. https://doi.org/10.2298/FIL2405807C |
en_US |
dc.identifier.issn |
0354-5180 |
|
dc.identifier.uri |
http://dx.doi.org/10.2298/FIL2405807C |
|
dc.identifier.uri |
https://www.webofscience.com/wos/woscc/full-record/WOS:001126593200001 |
|
dc.identifier.uri |
http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/4727 |
|
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 study, we first obtained a new identity for differentiable convex functions with the help of new conformable fractional integrals. Then, using this identity, we proved new Milne-type inequalities for new conformable fractional integrals. In the proofs, we used convexity, Ho center dot lder's inequality and mean power inequality, respectively. In other chapters, we have presented new inequalities for bounded functions, Lipschitzian Functions and functions of bounded variation. The findings of this article are reduced to previously established results in specific cases. |
en_US |
dc.description.sponsorship |
Ordu University Scientific Research Projects Coordination Unit (BAP) [B-2212] |
en_US |
dc.language.iso |
eng |
en_US |
dc.publisher |
UNIV NIS, FAC SCI MATH-NIS |
en_US |
dc.relation.isversionof |
10.2298/FIL2405807C |
en_US |
dc.rights |
info:eu-repo/semantics/openAccess |
en_US |
dc.subject |
Milne type inequalities, Convex function, Conformable fractional integrals, Bounded function, Function of bounded variation |
en_US |
dc.subject |
SIMPSONS TYPE INEQUALITIES, CONVEX-FUNCTIONS |
en_US |
dc.title |
On generalized Milne type inequalities for new conformable fractional integrals |
en_US |
dc.type |
article |
en_US |
dc.relation.journal |
FILOMAT |
en_US |
dc.contributor.department |
Ordu Üniversitesi |
en_US |
dc.identifier.volume |
38 |
en_US |
dc.identifier.issue |
5 |
en_US |
dc.identifier.startpage |
1807 |
en_US |
dc.identifier.endpage |
1823 |
en_US |