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A note on the convergence of partial Szász-Mirakyan type operators

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Herzog M.

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

2014

tom 13

In this paper we study approximation properties of partial modified Szasz-Mirakyan operators for functions from exponential weight spaces. We present some direct theorems giving the degree of approximation for these operators. The considered version of Szász-Mirakyan operators is more useful from the computational point of view.

Approximation of functions of two variables by modified Szasz-Mirakyan operators

100%

Herzog M.

Commentationes Mathematicae

2012

tom 52

nr 1

In this paper we study approximative properties of modified Szasz-Mirakyan operators for functions of two variables from polynomial weight spaces. We present some direct theorems giving a degree of approximation for these operators.

Approximation of functions of two variables from exponential weight spaces

100%

Herzog M.

In this paper we study approximative properties of modified Szasz-Mirakyan operators for functions of two variables from exponential weight spaces. We present theorems giving a degree of approximation by these operators for exponential bounded functions.

The degree of approximation of functions from exponential weight spaces

100%

Herzog M.

This paper presents a study of the approximation properties of modified Szász-Mirakyan operators for functions from exponential weight spaces. We present theorems giving the degree of approximation by these operators using a modulus of continuity.