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Direct estimate for some operators of Durrmeyer type in exponential weighted space

Krech G., Wachnicki E.

Demonstratio Mathematica

2014

Vol. 47, nr 2

336--349

In the present paper, we investigate the convergence and the approximation order of some Durrmeyer type operators in exponential weighted space. Furthermore, we obtain the Voronovskaya type theorem for these operators.

Certain modification of Szasz-Mirakyan operators

Walczak Z.

Fasciculi Mathematici

2004

Nr 34

141-147

We consider certain modified Szasz-Mirakyan operators An (f; r) in space C0 of uniformly continuous functions. We study approximation properties of these operators.

Approximation of functions of one and two variables by some operators

Rempulska L., Skorupka M.

Fasciculi Mathematici

2002

Nr 33

57-87

We consider some operates of Szasz-Mirakyan type in exponential weighted spaces of functions of one and two variables. We give theorems on the degree of approximation of functions by these operators and the Voronovskaya type theorems.

On certain modified Szasz-Mirakyan operators for functions of two variables

Walczak Z.

Demonstratio Mathematica

2000

Vol. 33, nr 1

91-100

We introduce certain modified Szasz-Mirakyan operators in polynomial weighted spaces of functions of two variables and we study approximation properties of these operators. The similar theorems for function of one variable are given in [2].