Approximation by bivariate Mazhar-Totik operators

Eugeniusz Wachnicki

Commentationes Mathematicae (2010)

  • Volume: 50, Issue: 2
  • ISSN: 2080-1211

Abstract

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The aim of this paper is to study a bivariate version of the operator investigated in [2], [4]. We shall present Voronovskaya type theorem and theorems giving a rate of convergence of this operator. Some applications for the limit problem are indicated.

How to cite

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Eugeniusz Wachnicki. "Approximation by bivariate Mazhar-Totik operators." Commentationes Mathematicae 50.2 (2010): null. <http://eudml.org/doc/292218>.

@article{EugeniuszWachnicki2010,
abstract = {The aim of this paper is to study a bivariate version of the operator investigated in [2], [4]. We shall present Voronovskaya type theorem and theorems giving a rate of convergence of this operator. Some applications for the limit problem are indicated.},
author = {Eugeniusz Wachnicki},
journal = {Commentationes Mathematicae},
keywords = {positive linear operator; rate of convergence; Voronovskaya theorem; modulus of continuity; modulus of smoothness; mixed modulus of smoothness; limit problem},
language = {eng},
number = {2},
pages = {null},
title = {Approximation by bivariate Mazhar-Totik operators},
url = {http://eudml.org/doc/292218},
volume = {50},
year = {2010},
}

TY - JOUR
AU - Eugeniusz Wachnicki
TI - Approximation by bivariate Mazhar-Totik operators
JO - Commentationes Mathematicae
PY - 2010
VL - 50
IS - 2
SP - null
AB - The aim of this paper is to study a bivariate version of the operator investigated in [2], [4]. We shall present Voronovskaya type theorem and theorems giving a rate of convergence of this operator. Some applications for the limit problem are indicated.
LA - eng
KW - positive linear operator; rate of convergence; Voronovskaya theorem; modulus of continuity; modulus of smoothness; mixed modulus of smoothness; limit problem
UR - http://eudml.org/doc/292218
ER -

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