Approximation by Kantorovich type operators

Authors

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

DOI:

https://doi.org/10.12697/ACUTM.2003.07.06

Keywords:

Szasz-Mirakyan operator, Baskakov operator, approximation theorem, Voronovskaya theorem

Abstract

We study approxiamtion properties of the Kantorovich type operators associated with the Szasz-Mirakyan and Baskakov operators. We prove that the approximation order of smoothness functions by considered operators is better than for the classical Szasz-Mirakyan and Baskakov operators given in [2]. Our paper is motivated by results obtained in [2], [6], [9] and [12].

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Author Biographies

Lucyna Rempulska, Poznań University of Technology

Insititute of Mathematics

Mariola Skorupka, Poznań University of Technology

Institute of Mathematics

Published

2003-12-31

Issue

Vol. 7 (2003)

Section

Articles