| dc.contributor.author |
Butt, Saad Ihsan |
|
| dc.contributor.author |
Set, Erhan |
|
| dc.contributor.author |
Yousaf, Saba |
|
| dc.contributor.author |
Abdeljawad, Thabet |
|
| dc.contributor.author |
Shatanawi, Wasfi |
|
| dc.date.accessioned |
2023-01-06T12:18:31Z |
|
| dc.date.available |
2023-01-06T12:18:31Z |
|
| dc.date.issued |
2021 |
|
| dc.identifier.citation |
Butt, SI., Set, E., Yousaf, S., Abdeljawad, T., Shatanawi, W. (2021). Generalized integral inequalities for ABK-fractional integral operators. Aims Mathematics, 6(9), 10164-10191.Doi:10.3934/math.2021589 |
en_US |
| dc.identifier.isbn |
2473-6988 |
|
| dc.identifier.uri |
http://dx.doi.org/10.3934/math.2021589 |
|
| dc.identifier.uri |
https://www.webofscience.com/wos/woscc/full-record/WOS:000683418700037 |
|
| dc.identifier.uri |
http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/3681 |
|
| dc.description |
WoS Categories : Mathematics, Applied; Mathematics
Web of Science Index : Science Citation Index Expanded (SCI-EXPANDED)
Research Areas : Mathematics
Open Access Designations : gold |
en_US |
| dc.description.abstract |
In this paper, we employ new version of the Atangana-Baleanu integral operator namely ABK-fractional integrals to obtain two general integral identities complying second-order derivatives for a given function. Thus allowing us to derive new generalized Hermite-Hadamard type inequalities via ABK- fractional integrals. Moreover we give several new versions of Mid-point and Trapezoid type inequalities by employing Holder, Young and Jensen inequalities. |
en_US |
| dc.description.sponsorship |
Funding Orgs : Prince Sultan University
Funding Name Preferred : Prince Sultan University
Funding Text : We would like to express our gratitude to the editor and reviewers who helped to improve this article and reach its final form. Also, we would like to thank to Prof. Dr. Ahmet Ocak Akdemir for his contributions in the revision process of this article. The |
en_US |
| dc.language.iso |
eng |
en_US |
| dc.publisher |
AMER INST MATHEMATICAL SCIENCES-AIMS SPRINGFIELD |
en_US |
| dc.relation.isversionof |
10.3934/math.2021589 |
en_US |
| dc.rights |
info:eu-repo/semantics/openAccess |
en_US |
| dc.subject |
HADAMARD-TYPE INEQUALITIES; ATANGANA-BALEANU |
en_US |
| dc.subject |
differentiable convex functions; Holder inequality; Young inequality; power mean inequality; Katugampol a fractional integral; AB-fractional integral; ABK-fractional integral |
en_US |
| dc.title |
Generalized integral inequalities for ABK-fractional integral operators |
en_US |
| dc.type |
article |
en_US |
| dc.relation.journal |
AIMS MATHEMATICS |
en_US |
| dc.contributor.department |
Ordu Üniversitesi |
en_US |
| dc.contributor.authorID |
0000-0002-8889-3768 |
en_US |
| dc.contributor.authorID |
0000-0001-7492-4933 |
en_US |
| dc.identifier.volume |
6 |
en_US |
| dc.identifier.issue |
9 |
en_US |
| dc.identifier.startpage |
10164 |
en_US |
| dc.identifier.endpage |
10191 |
en_US |