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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 4, Pages 273–276 (Mi timm1248)  
This article is cited in 1 scientific paper (total in 1 paper)

Uniform approximation of curvature for smooth classes of plane curves

Yu. N. Subbotinab

a Institute of Mathematics and Computer Science, Ural Federal University, Ekaterinburg
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
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Abstract: We consider problems of approximation of the curvature for certain smooth classes of plane curves by the curvature of elements of smooth finite-dimensional function spaces (trigonometric polynomials, splines with equidistant knots) in the uniform norm.
Keywords: curvature, uniform approximation, classes of smooth functions, trigonometric polynomials, splines with equidistant knots, estimates of approximation error.
Received: 30.06.2015
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, Volume 297, Issue 1, Pages 182–185
DOI: https://doi.org/10.1134/S0081543817050194
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: Yu. N. Subbotin, “Uniform approximation of curvature for smooth classes of plane curves”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 4, 2015, 273–276; Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 182–185
Citation in format AMSBIB
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\paper Uniform approximation of curvature for smooth classes of plane curves
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\yr 2015
\vol 21
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\pages 273--276
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2017
\vol 297
\issue , suppl. 1
\pages 182--185
\crossref{https://doi.org/10.1134/S0081543817050194}
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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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