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Diamond alpha Hardy-Copson type dynamic inequalities

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dc.contributor.author Kayar, Zeynep
dc.contributor.author Kaymakçalan, Billur
dc.date.accessioned 2024-03-06T12:21:54Z
dc.date.available 2024-03-06T12:21:54Z
dc.date.issued 2022-02-14
dc.identifier.citation Kayar, Z.; Kaymakçalan, B. (2022). "Diamond alpha Hardy-Copson type dynamic inequalities", Hacettepe Journal of Mathematics and Statistics, Vol.51, No.1, pp.48-73. tr_TR
dc.identifier.issn 2651-477X
dc.identifier.uri http://hdl.handle.net/20.500.12416/7493
dc.description.abstract In this paper two kinds of dynamic Hardy-Copson type inequalities are derived via diamond alpha integrals. The first kind consists of twelve new integral inequalities which can be considered as mixed type in the sense that these inequalities contain delta, nabla and diamond alpha integrals together. The second kind involves another twelve new inequalities, which are composed of only diamond alpha integrals, unifying delta and nabla Hardy-Copson type inequalities. Our approach is quite new due to the fact that it uses time scale calculus rather than algebra. Therefore both kinds of our results unify some of the known delta and nabla Hardy-Copson type inequalities into one diamond alpha Hardy-Copson type inequalities and offer new Hardy-Copson type inequalities even for the special cases. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.15672/hujms.928390 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Diamond Alpha Calculus tr_TR
dc.subject Hardy’s Inequality tr_TR
dc.subject Copson’s Inequality tr_TR
dc.title Diamond alpha Hardy-Copson type dynamic inequalities tr_TR
dc.type article tr_TR
dc.relation.journal Hacettepe Journal of Mathematics and Statistics tr_TR
dc.contributor.authorID 109448 tr_TR
dc.identifier.volume 51 tr_TR
dc.identifier.issue 1 tr_TR
dc.identifier.startpage 48 tr_TR
dc.identifier.endpage 73 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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