SOME APPROXIMATION THEOREMS VIA STATISTICAL CONVERGENCE

In this paper we prove some Korovkin and Weierstrass type approximation theorems via statistical convergence. We are also concerned with the order of statistical convergence of a sequence of positive linear operators.

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Veröffentlicht in:	The Rocky Mountain journal of mathematics 2002-03, Vol.32 (1), p.129-138
Hauptverfasser:	GADJIEV, A.D., ORHAN, C.
Format:	Artikel
Sprache:	eng
Schlagworte:	40A05 40A30 41A10 41A25 41A36 Approximation Approximations and expansions Exact sciences and technology Linear transformations Mathematical analysis Mathematical sequences Mathematical theorems Mathematics Measure theory Perceptron convergence procedure Polynomials positive linear operator Sciences and techniques of general use Sequences, series, summability Statistical convergence Statistical theories Statistics the Korovkin theorem Weierstrass approximation theorem
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Beschreibung
Zusammenfassung:	In this paper we prove some Korovkin and Weierstrass type approximation theorems via statistical convergence. We are also concerned with the order of statistical convergence of a sequence of positive linear operators.
ISSN:	0035-7596 1945-3795
DOI:	10.1216/rmjm/1030539612