On the degree of approximation of functions of two variables by some operators

Authors

  • Lucyna Rempulska Poznań University of Technology
  • Mariola Skorupka Poznań University of Technology

DOI:

https://doi.org/10.12697/ACUTM.2005.09.07

Keywords:

function of two variables, positive linear operator, degree of approximation, Voronovskaya theorem

Abstract

We introduce operators of Szász-Mirakyan and Baskakov type in polynomial weighted spaces of functions of two variables. We prove a theorem on the degree of approximation and a Voronovskaya type theorem for these operators. Similar results for Bernstein, Szász-Mirakyan and Baskakov operators of functions of one variable were given in [3-6].

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Author Biographies

Lucyna Rempulska, Poznań University of Technology

Institute of Mathematics

Mariola Skorupka, Poznań University of Technology

Institute of Mathematics

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Published

2005-12-31

Issue

Section

Articles