Open AccessApproximation properties of certain linear positive operators of functions of two variables
Author(s) -
Zbigniew Walczak
Publication year - 2002
Publication title -
acta et commentationes universitatis tartuensis de mathematica./acta et commentationes universitatis tartuensis de mathematica
Language(s) - English
Resource type - Journals
eISSN - 2228-4699
pISSN - 1406-2283
DOI - 10.12697/acutm.2002.06.03
Subject(s) - mathematics , linear operators , operator theory , exponential function , degree (music) , polynomial , variable (mathematics) , constant coefficients , spectral theorem , pure mathematics , variables , exponential polynomial , discrete mathematics , mathematical analysis , statistics , physics , acoustics , bounded function
We introduce certain modified Szász-Mirakyan operators in polynomial and exponential weighted spaces of functions of two variables and we study the degree of approximation of functions by these operators.
Similar theorems for functions of one variable were given in [4] and [5].