The Bernstein Voronovskaja-type theorem for positive linear approximation operators

We prove that the classical Bernstein Voronovskaja-type theorem remains valid in general for all sequences of positive linear approximation operators.

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Vydané v:Journal of approximation theory Ročník 192; s. 291 - 296
Hlavní autori: Gavrea, Ioan, Ivan, Mircea
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Elsevier Inc 01.04.2015
Predmet:
Bernstein–Voronovskaja theorem
Central moments
Positive linear operators
Rate of convergence
Central moments
41A25
41A36
Bernstein–Voronovskaja theorem
41A10
41A80
Positive linear operators
Rate of convergence
41A17
ISSN:0021-9045, 1096-0430
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Popis
Shrnutí:We prove that the classical Bernstein Voronovskaja-type theorem remains valid in general for all sequences of positive linear approximation operators.
ISSN:0021-9045
1096-0430
DOI:10.1016/j.jat.2014.12.008