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Matematicheskie Zametki, 2004, Volume 76, Issue 1, Pages 111–118
DOI: https://doi.org/10.4213/mzm93 (Mi mzm93) 		 
This article is cited in 1 scientific paper (total 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
Full-text PDF (191 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm93
Abstract: In the space C(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.
Received: 20.02.2003
English version:
Mathematical Notes, 2004, Volume 76, Issue 1, Pages 103–110
DOI: https://doi.org/10.1023/B:MATN.0000036746.47386.1e
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. N. Rusak, I. V. Rybachenko, “The Properties of Functions and Approximation by Summation Rational Operators on the Real Axis”, Mat. Zametki, 76:1 (2004), 111–118; Math. Notes, 76:1 (2004), 103–110
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    1. Komarov M.A., “Distribution of the Logarithmic Derivative of a Rational Function on the Line”, Acta Math. Hung., 163:2 (2021), 623–639  crossref  mathscinet  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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