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.