#### Glasnik Matematicki, Vol. 32, No.1 (1997), 57-69.

### APPROXIMATION BY SOME OPERATORS OF THE
SZASZ-MIRAKJAN TYPE IN EXPONENTIAL WEIGHT SPACES

### M. Lesniewicz and L. Rempulska

Institute of Mathematics, Technical University of Poznan,
Piotrowo 3 A, 60-965 Poznan, Poland

**Abstract.** In this note we introduce some linear positive
operators of the Szasz-Mirakjan type in the space of continuous
functions of one and two variables, having exponential growth at
infinity. In Sec. 1 we investigate the degree of approximation of
functions of one variable by these operators. In Sec. 2 we give
direct approximation theorems for functions of two variables.

This note was inspired M. Becker, D. Kucharski and R. J. Nessel results
for the Szasz-Mirakjan operators.

**1991 Mathematics Subject Classification.**
41A36.

**Key words and phrases.** Linear positive operators,
degree of approximation.

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