Approximation results for urysohn-type nonlinear bernstein operators

dc.authorid0000-0002-3641-9052
dc.contributor.authorKarslı, Harun
dc.date.accessioned2021-06-23T18:51:33Z
dc.date.available2021-06-23T18:51:33Z
dc.date.issued2018
dc.departmentBAİBÜ, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn the present work, our aim of this study is generalization and extension of the theory of interpolation of functions to functionals or operators by means of Urysohn-type nonlinear operators. In accordance with this purpose, we introduce and study a new type of Urysohn-type nonlinear operators. In particular, we investigate the convergence problem for nonlinear operators that approximate the Urysohn-type operator. The starting point of this study is motivated by the important applications that approximation properties of certain families of nonlinear operators have in signal-image reconstruction and in other related fields. We construct our nonlinear operators by using a nonlinear forms of the kernels together with the Urysohn-type operator values instead of the sampling values of the function. As far as we know, this will be first use of such kind of operators in the theory of interpolation and approximation. Hence, the present study is a generalization and extension of some previous results. © Springer Nature Singapore Pte Ltd. 2018.en_US
dc.identifier.doi10.1007/978-981-13-3077-3_14
dc.identifier.endpage241en_US
dc.identifier.isbn9789811330773
dc.identifier.isbn9789811330766
dc.identifier.scopus2-s2.0-85085828372en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage223en_US
dc.identifier.urihttps://doi.org/10.1007/978-981-13-3077-3_14
dc.identifier.urihttps://hdl.handle.net/20.500.12491/3860
dc.indekslendigikaynakScopusen_US
dc.institutionauthorKarslı, Harun
dc.language.isoenen_US
dc.publisherSpringer Singaporeen_US
dc.relation.ispartofAdvances in Summability and Approximation Theoryen_US
dc.relation.publicationcategoryKitap Bölümü - Uluslararasıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectApproximationen_US
dc.subjectNonlinear bernstein operatorsen_US
dc.subjectUrysohn integral operatorsen_US
dc.subjectUrysohn-type nonlinear bernstein operatorsen_US
dc.titleApproximation results for urysohn-type nonlinear bernstein operatorsen_US
dc.typeBook Chapteren_US

Dosyalar