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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 4, Pages 309–315 (Mi timm1252)  
This article is cited in 1 scientific paper (total in 1 paper)

Upper bounds for uniform Lebesgue constants of interpolational periodic sourcewise representable splines

V. T. Shevaldinab, O. Ya. Shevaldinab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
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Abstract: Upper bounds for Lebesgue constants (norms of linear operators from $C$ to $C$) of interpolational periodic sourcewise representable splines with uniform knots are obtained for a wide class of periodic integrable kernels $K$.
Keywords: Lebesgue constants, sourcewise representable splines, uniform knots.
Received: 09.02.2015
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, Volume 297, Issue 1, Pages 175–181
DOI: https://doi.org/10.1134/S0081543817050182
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: V. T. Shevaldin, O. Ya. Shevaldina, “Upper bounds for uniform Lebesgue constants of interpolational periodic sourcewise representable splines”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 4, 2015, 309–315; Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 175–181
Citation in format AMSBIB
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\paper Upper bounds for uniform Lebesgue constants of interpolational periodic sourcewise representable splines
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\yr 2015
\vol 21
\issue 4
\pages 309--315
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2017
\vol 297
\issue , suppl. 1
\pages 175--181
\crossref{https://doi.org/10.1134/S0081543817050182}
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  • https://www.mathnet.ru/eng/timm1252
  • https://www.mathnet.ru/eng/timm/v21/i4/p309
    • This publication is cited in the following 1 articles:
    1. I. G. Burova, E. F. Muzafarova, I. I. Narbutovskikh, “Approximation by the Third-Order Splines on Uniform and Non-uniform Grids and Image Processing”, WSEAS TRANSACTIONS ON MATHEMATICS, 19 (2020), 65  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Trudy Instituta Matematiki i Mekhaniki UrO RAN
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    Full-text PDF :90
    References:54
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