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Matematicheskie Zametki, 2004, Volume 76, Issue 6, Pages 812–823
DOI: https://doi.org/10.4213/mzm150 (Mi mzm150) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Negative Results in Form-Preserving Approximation of Higher Order

A. V. Bondarenko, A. V. Primak

National Taras Shevchenko University of Kyiv
Full-text PDF (227 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm150
Abstract: It is proved that for $q$-convex polynomial approximations, where $q\ge4$ , inequalities of Jackson type are not valid even with a constant depending on the approximated function.
Received: 08.05.2003
English version:
Mathematical Notes, 2004, Volume 76, Issue 6, Pages 758–769
DOI: https://doi.org/10.1023/B:MATN.0000049675.24438.f2
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: A. V. Bondarenko, A. V. Primak, “Negative Results in Form-Preserving Approximation of Higher Order”, Mat. Zametki, 76:6 (2004), 812–823; Math. Notes, 76:6 (2004), 758–769
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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