1. Ordu Üniversitesi Açık Arşiv Sistemi
  2. FAKÜLTELER
  3. Fen Edebiyat Fakültesi
  4. Matematik
Please use this identifier to cite or link to this item: http://earsiv.odu.edu.tr:8080/xmlui/handle/11489/3681
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dc.contributor.authorButt, Saad Ihsan-
dc.contributor.authorSet, Erhan-
dc.contributor.authorYousaf, Saba-
dc.contributor.authorAbdeljawad, Thabet-
dc.contributor.authorShatanawi, Wasfi-
dc.date.accessioned2023-01-06T12:18:31Z-
dc.date.available2023-01-06T12:18:31Z-
dc.date.issued2021-
dc.identifier.citationButt, 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.2021589en_US
dc.identifier.isbn2473-6988-
dc.identifier.urihttp://dx.doi.org/10.3934/math.2021589-
dc.identifier.urihttps://www.webofscience.com/wos/woscc/full-record/WOS:000683418700037-
dc.identifier.urihttp://earsiv.odu.edu.tr:8080/xmlui/handle/11489/3681-
dc.descriptionWoS Categories : Mathematics, Applied; Mathematics Web of Science Index : Science Citation Index Expanded (SCI-EXPANDED) Research Areas : Mathematics Open Access Designations : golden_US
dc.description.abstractIn 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.sponsorshipFunding 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. Theen_US
dc.language.isoengen_US
dc.publisherAMER INST MATHEMATICAL SCIENCES-AIMS SPRINGFIELDen_US
dc.relation.isversionof10.3934/math.2021589en_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHADAMARD-TYPE INEQUALITIES; ATANGANA-BALEANUen_US
dc.subjectdifferentiable convex functions; Holder inequality; Young inequality; power mean inequality; Katugampol a fractional integral; AB-fractional integral; ABK-fractional integralen_US
dc.titleGeneralized integral inequalities for ABK-fractional integral operatorsen_US
dc.typearticleen_US
dc.relation.journalAIMS MATHEMATICSen_US
dc.contributor.departmentOrdu Üniversitesien_US
dc.contributor.authorID0000-0002-8889-3768en_US
dc.contributor.authorID0000-0001-7492-4933en_US
dc.identifier.volume6en_US
dc.identifier.issue9en_US
dc.identifier.startpage10164en_US
dc.identifier.endpage10191en_US
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