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On the complementary nabla Pachpatte type dynamic inequalities via convexity

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dc.contributor.author Kayar, Zeynep
dc.contributor.author Kaymakçalan, Billur
dc.date.accessioned 2024-06-13T12:29:32Z
dc.date.available 2024-06-13T12:29:32Z
dc.date.issued 2024-01
dc.identifier.citation Kayar, Zeynep; Kaymakçalan, Billur (2024). "On the complementary nabla Pachpatte type dynamic inequalities via convexity", Kuwait Journal of Science, Vol. 51, No. 1. tr_TR
dc.identifier.issn 2307-4108
dc.identifier.uri http://hdl.handle.net/20.500.12416/8499
dc.description.abstract Pachpatte type inequalities are convex generalizations of the well-known Hardy-Copson type inequalities. As Hardy-Copson type inequalities and convexity have numerous applications in pure and applied mathematics, combining these concepts will lead to more significant applications that can be used to develop certain branches of mathematics such as fuctional analysis, operator theory, optimization and ordinary/partial differential equations. We extend classical nabla Pachpatte type dynamic inequalities by changing the interval of the exponent δ from δ ​> ​1 to δ ​< ​0. Our results not only complement the classical nabla Pachpatte type inequalities but also generalize complementary nabla Hardy-Copson type inequalities. As the case of δ ​< ​0 has not been previously examined, these complementary inequalities represent a novelty in the nabla time scale calculus, specialized cases in continuous and discrete scenarios, and in the dual outcomes derived in the delta time scale calculus. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.kjs.2023.09.004 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Convexity tr_TR
dc.subject Copson's Inequality tr_TR
dc.subject Hardy's Inequality tr_TR
dc.subject Pachpatte's Inequality tr_TR
dc.subject Time Scale Calculus tr_TR
dc.title On the complementary nabla Pachpatte type dynamic inequalities via convexity tr_TR
dc.type article tr_TR
dc.relation.journal Kuwait Journal of Science tr_TR
dc.contributor.authorID 109448 tr_TR
dc.identifier.volume 51 tr_TR
dc.identifier.issue 1 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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