On approximation properties of non-convolution type nonlinear integral operators

dc.authorid0000-0002-3641-9052
dc.contributor.authorKarslı, Harun
dc.date.accessioned2021-06-23T18:51:55Z
dc.date.available2021-06-23T18:51:55Z
dc.date.issued2010
dc.departmentBAİBÜ, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn the present paper we state some approximation theorems concerning pointwise convergence and its rate for a class of non-convolution type nonlinear integral operators of the form: In particular, we obtain the pointwise convergence and its rate at some characteristic points x0 of f as (x, ?) ? (x0, ?0) in L1 ? A,B ?, where ? a,b ? and ? A,B ? are is an arbitrary intervals in R, ? is a non-empty set of indices with a topology and ?0 an accumulation point of ? in this topology. The results of the present paper generalize several ones obtained previously in the papers [19]-[23]. © 2010 Editorial Board of Analysis in Theory and Applications and Springer-Verlag Berlin Heidelberg.en_US
dc.identifier.doi10.1007/s10496-010-0140-x
dc.identifier.endpage152en_US
dc.identifier.issn1672-4070
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-77953633454en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage140en_US
dc.identifier.urihttps://doi.org/10.1007/s10496-010-0140-x
dc.identifier.urihttps://hdl.handle.net/20.500.12491/4057
dc.identifier.urihttps://link.springer.com/article/10.1007/s10496-010-0140-x
dc.identifier.volume26en_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorKarslı, Harun
dc.language.isoenen_US
dc.relation.ispartofAnalysis in Theory and Applicationsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGeneralized Lebesgue Pointen_US
dc.subjectLipschitz Conditionen_US
dc.subjectNonlinear Singular Integralen_US
dc.subjectPointwise Convergenceen_US
dc.subjectRate of Convergenceen_US
dc.titleOn approximation properties of non-convolution type nonlinear integral operatorsen_US
dc.typeArticleen_US

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