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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 6, Pages 1285–1294 (Mi smj1807)  
This article is cited in 2 scientific papers (total in 2 papers)

Sharpness of estimates for the least uniform derivation 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 (312 kB) Citations (2)
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Abstract: We study the uniform approximation of continuous functions on an interval by functions with bounded second derivative. We prove the sharpness of estimates for the least uniform deviation of a function in terms of its local deviations on uniform and nonuniform three-point grids.
Keywords: uniform approximation, functions with bounded derivative.
Received: 06.04.2006
Revised: 16.06.2006
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 6, Pages 1029–1037
DOI: https://doi.org/10.1007/s11202-007-0105-2
Bibliographic databases:
UDC: 517.518.843
Language: Russian
Citation: A. V. Mironenko, “Sharpness of estimates for the least uniform derivation from the class of functions with bounded second derivative”, Sibirsk. Mat. Zh., 48:6 (2007), 1285–1294; Siberian Math. J., 48:6 (2007), 1029–1037
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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