The Bernstein inequality for some operator of the Szász-Mirakjan type

Authors

  • L. Rempulska
  • M. Skorupka

DOI:

https://doi.org/10.1285/i15900932v14n2p277

Keywords:

Bernstein inequality, Linear positive operator

Abstract

We give the Bernstein inequality for derivatives of the operators of the Szász-Mirakjan type introduced and studied in [3-6] for functions of one and several variables, continuous and having the polynomial or exponential growth at infinity. In §1 we consider these operators for functions of one variable. In §2 we investigate some analogues of these operators for functions of two variables. The present inequalities are very important for approximation properties of the considered operators.

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Published

01-01-1994

Issue

Volume 14, Issue 2 (1994)

Section

Articoli

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