Statistical extension of the Korovkin-type approximation theorem

dc.contributor.author	Demirci, Kamil
dc.contributor.author	Dirik, Fadime
dc.date.accessioned	2015-04-15T06:46:16Z
dc.date.available	2015-04-15T06:46:16Z
dc.date.issued	2011
dc.description.abstract	In this paper, using the concept of statistical -convergence which is stronger than convergence and statistical convegence we obtain a Korovkin type approxi- mation theorem for sequences of positive linear operators from H ! to C B ( I ) where I =[0 ; 1 ) and ! is a modulus of continuity type functions. Also, we construct an example such that our new approximation result works but its classical and statistical cases do not. We also compute the rates of statistical -convergence of sequence of positive linear operators
dc.identifier.citation	Demirci, K., Dirik, F. (2011). Statistical extension of the Korovkin-type approximation theorem. Applied Mathematics E-Notes, 11, 101-109.
dc.identifier.issn	1607-2510
dc.identifier.scopus	2-s2.0-79956361849
dc.identifier.uri	http://www.math.nthu.edu.tw/~amen/2011/100405-2.pdf
dc.identifier.uri	https://hdl.handle.net/11486/934
dc.identifier.wos	WOS:000433707400012
dc.indekslendigikaynak	PubMed
dc.language.iso	en
dc.publisher	Applied Mathematics E-Notes
dc.relation.publicationcategory	Makale - Kategorisiz
dc.title	Statistical extension of the Korovkin-type approximation theorem
dc.type	Article