A Korovkin type approximation theorem for double sequences of positive linear operators of two variables in A-statistical sense

dc.contributor.authorDemirci, Kamil
dc.contributor.authorDirik, Fadime
dc.date.accessioned2015-04-14T12:19:14Z
dc.date.available2015-04-14T12:19:14Z
dc.date.issued2010
dc.description.abstractIn this paper, we obtain a Korovkin type approximation theorem for double sequences of positive linear operators of two variables from Hw(K) to C(K) via A-statistical convergence. Also, we construct an example such that our new approximation result works but its classical case does not work. Furthermore, we study the rates of A -statistical convergence by means of the modulus of continuity.
dc.identifier.citationDemirci, K., Dirik, F. (2010). A Korovkin type approximation theorem for double sequences of positive linear operators of two variables in A-statistical sense. Bulletin of the Korean Mathematical Society, 47(4), 825-837.
dc.identifier.doi10.4134/BKMS.2010.47.4.825
dc.identifier.issn1015-8634 (Basılı)
dc.identifier.issn2234-3016 (Çevrim içi)
dc.identifier.scopus2-s2.0-77958545428
dc.identifier.urihttp://pdf.medrang.co.kr/kms01/BKMS/47/BKMS-47-4-825-837.pdf
dc.identifier.urihttps://hdl.handle.net/11486/927
dc.identifier.urihttps://doi.org/10.4134/BKMS.2010.47.4.825
dc.identifier.wosWOS:000280503900016
dc.language.isoen
dc.publisherBulletin of the Korean Mathematical Society
dc.relation.publicationcategoryMakale - Kategorisiz
dc.subjectA-statistical convergence for double sequences
dc.subjectPositive linear operator
dc.subjectKorovkin-type approximation theorem
dc.subjectMeyer-K\{o}nig and Zeller operator
dc.subjectModulus of continuity
dc.titleA Korovkin type approximation theorem for double sequences of positive linear operators of two variables in A-statistical sense
dc.typeArticle

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