Remark on weighted approximation properties of generalized Picard operators

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dc.contributor.authorYilmaz, B.
dc.contributor.authorBascanbaz-Tunca, G.
dc.contributor.authorAral, A.
dc.date.accessioned2020-06-25T18:07:31Z
dc.date.available2020-06-25T18:07:31Z
dc.date.issued2013
dc.departmentKırıkkale Üniversitesi
dc.descriptionBascanbaz-Tunca, Gulen/0000-0003-3216-1661
dc.description.abstractIn this article, we still hold the study of the generalized Picard operators P-lambda,P-beta (f; q) depending on nonisotropic beta-distance given in [3]. By continuing to deal with the nonisotropic weighted L-p,L-beta (R-n) space defined in [17], we introduce a new weighted L-p,L-beta modulus of continuity depending on the nonisotropic distance to obtain the weighted rate of convergence. We show that weighted convergence rate of P-lambda,P-beta (f; q) to f can be made better not only depending on the chosen q but also the choice of beta. We get that P-lambda,P-beta (f; q) satisfy the global smoothness preservation property via weighted L-p,L-beta modulus of continuity. Also we give direct approximation property of the generalized Picard operators P-lambda,P-beta (f; q) with respect to nonisotropic weighted norm.en_US
dc.identifier.citationYilmaz, B., Başcanbaz Tunca, G., & Aral, A., (2013). Remark On Weighted Approximation Properties Of Generalized Picard Operators. Miskolc Mathematical Notes , 14(3), 1091-1103.en_US
dc.identifier.doi10.18514/MMN.2013.574
dc.identifier.endpage1103en_US
dc.identifier.issn1787-2405
dc.identifier.issn1787-2413
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-84892459553
dc.identifier.scopusqualityQ2
dc.identifier.startpage1091en_US
dc.identifier.urihttps://doi.org/10.18514/MMN.2013.574
dc.identifier.urihttps://hdl.handle.net/20.500.12587/5597
dc.identifier.volume14en_US
dc.identifier.wosWOS:000338514500032
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherUniv Miskolc Inst Mathen_US
dc.relation.ispartofMiskolc Mathematical Notes
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectgeneralized Picard singular integral nonisotropic distanceen_US
dc.subjectLebesgue pointen_US
dc.titleRemark on weighted approximation properties of generalized Picard operatorsen_US
dc.typeArticle

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