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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 4, Pages 842–858 (Mi smj899)  
This article is cited in 4 scientific papers (total in 4 papers)

An estimate for the least uniform deviation from the class of functions with bounded second derivative

A. V. Mironenko

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (322 kB) Citations (4)
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Abstract: We consider the problem of uniform approximation of a continuous function on an interval by means of the class of functions with bounded second derivative. We prove an estimate for the least uniform deviation of a function in terms of its local deviations on uniform and nonuniform three-point grids.
Keywords: uniform approximation, bounded second derivative.
Received: 13.01.2005
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 4, Pages 696–709
DOI: https://doi.org/10.1007/s11202-006-0080-z
Bibliographic databases:
UDC: 517.518.843
Language: Russian
Citation: A. V. Mironenko, “An estimate for the least uniform deviation from the class of functions with bounded second derivative”, Sibirsk. Mat. Zh., 47:4 (2006), 842–858; Siberian Math. J., 47:4 (2006), 696–709
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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