ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. LXXIV, 1 (2005)
p. 37 - 48

Approximation of functions of two variables
Z. Walczak


Abstract.  We introduce certain positive linear operators in weighted spaces of functions of two variables and we study approximation properties of these operators. We give theorems on the degree of approximation of functions from polynomial and exponential weighted spaces by introduced operators, using norms of these spaces.

Keywords: Positive linear operator, degree of approximation, polynomial and exponential weighted spaces.  

AMS Subject classification:  41A36.

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Acta Mathematica Universitatis Comenianae
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