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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2008, Volume 14, Number 3, Pages 145–152 (Mi timm48)  
This article is cited in 1 scientific paper (total in 1 paper)

On the estimate of the uniform deviation from the class of functions with bounded third derivative

A. V. Mironenko

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
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Abstract: The problem of the uniform approximation of a continuous function on a closed interval by a class of functions with a uniformly bounded third derivative is considered. It is shown that the value of best approximation of a function by this class cannot be estimated linearly in terms of its third-order modulus of continuity. At the same time, such estimates exist for classes with bounded first or second derivatives.
Received: 29.02.2008
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2009, Volume 264, Issue 1, Pages S168–S176
DOI: https://doi.org/10.1134/S0081543809050149
Bibliographic databases:
Document Type: Article
UDC: 517.518.2
Language: Russian
Citation: A. V. Mironenko, “On the estimate of the uniform deviation from the class of functions with bounded third derivative”, Trudy Inst. Mat. i Mekh. UrO RAN, 14, no. 3, 2008, 145–152; Proc. Steklov Inst. Math. (Suppl.), 264, suppl. 1 (2009), S168–S176
Citation in format AMSBIB
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\paper On the estimate of the uniform deviation from the class of functions with bounded third derivative
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2008
\vol 14
\issue 3
\pages 145--152
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2009
\vol 264
\issue , suppl. 1
\pages S168--S176
\crossref{https://doi.org/10.1134/S0081543809050149}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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