This article is cited in 1 paper

The Properties of Functions and Approximation by Summation Rational Operators on the Real Axis

V. N. Rusak, I. V. Rybachenko

Belarusian State University, Faculty of Physics

Abstract: In the space $C(\mathbb R)$, we construct special summation operators of Jackson type with rational kernels and under a suitable choice of poles we obtain order estimates for deviations of these operators from functions belonging to certain classes.

UDC: 517.5

Received: 20.02.2003

DOI: 10.4213/mzm93

 English version: Mathematical Notes, 2004, 76:1, 103–110

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