On inequalities of Simpson's type for convex functions via generalized fractional integrals

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dc.contributor.authorHezenci, Fatih
dc.contributor.departmentOthertr_TR
dc.contributor.facultyOthertr_TR
dc.date.accessioned2022-12-28T13:09:04Z
dc.date.available2022-12-28T13:09:04Z
dc.date.issued2022
dc.description.abstractFractional calculus and applications have application areas in many different fields such as physics, chemistry, and engineering as well as mathematics. The application of arithmetic carried out in classical analysis in fractional analysis is very important in terms of obtaining more realistic results in the solution of many problems. In this study, we prove an identity involving generalized fractional integrals by using differentiable functions. By utilizing this identity, we obtain several Simpson’s type inequalities for the functions whose derivatives in absolute value are convex. Finally, we present some new results as the special cases of our main results.tr_TR
dc.description.indexTrdizintr_TR
dc.identifier.endpage825tr_TR
dc.identifier.issn/e-issn1303-5991
dc.identifier.issue3tr_TR
dc.identifier.startpage806tr_TR
dc.identifier.urihttps://doi.org/10.31801/cfsuasmas.1004300tr_TR
dc.identifier.urihttp://hdl.handle.net/20.500.12575/86571
dc.identifier.volume71tr_TR
dc.language.isoentr_TR
dc.publisherAnkara Üniversitesitr_TR
dc.relation.isversionof10.31801/cfsuasmas.1004300tr_TR
dc.relation.journalCommunications, Series A1:Mathematics and Statisticstr_TR
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıtr_TR
dc.subjectSimpson type inequalities, convex function, generalized fractional integralstr_TR
dc.titleOn inequalities of Simpson's type for convex functions via generalized fractional integralstr_TR
dc.typeArticletr_TR

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