Korovkin type approximation theorem for functions of two variables in statistical sense

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dc.contributor.authorDirik, Fadime
dc.contributor.authorDemirci, Kamil
dc.date.accessioned2014-08-11T10:25:45Z
dc.date.available2014-08-11T10:25:45Z
dc.date.issued2010
dc.description.abstractIn this paper, using the concept of A-statistical convergence for double sequences, we investigate a Korovkin-type approximation theorem for sequences of positive linear operator on the space of all continuous real valued functions defined on any compact subset of the real two-dimensional space. Then we display an application which shows that our new result is stronger than its classical version. We also obtain a Voronovskaya-type theorem and some differential properties for sequences of positive linear operators constructed by means of the Bernstein polynomials of two variables.
dc.identifier.citationDirik, F., Demirci, K. "Korovkin type approximation theorem for functions of two variables in statistical sense". Turkish Journal of Mathematics. 34 (2010) , 73 – 83.
dc.identifier.doi10.3906/mat-0802-21
dc.identifier.scopus2-s2.0-77950187340
dc.identifier.trdizinid96905
dc.identifier.urihttp://journals.tubitak.gov.tr/math/issues/mat-10-34-1/mat-34-1-7-0802-21.pdf
dc.identifier.urihttps://hdl.handle.net/11486/265
dc.identifier.urihttps://doi.org/10.3906/mat-0802-21
dc.identifier.wosWOS:000276573300007
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherTurkish Journal of Mathematics
dc.relation.publicationcategoryMakale - Kategorisiz
dc.subjectA-Statistical convergence of double sequence
dc.subjectKorovkin-type approximation theorem
dc.subjectBernstein polynomials
dc.subjectVoronovskaya-type theorem
dc.titleKorovkin type approximation theorem for functions of two variables in statistical sense
dc.typeArticle

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