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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.
@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 -