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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 4, Pages 51–67 (Mi timm866)  
This article is cited in 1 scientific paper (total in 1 paper)

Jackson's exact inequality with a special module of continuity

A. G. Babenkoab, N. V. Dolmatovac, Yu. V. Kryakinc

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Ural Federal University
c Mathematical Institute, University of Wroclaw
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Abstract: Best integral approximations of B-splines by trigonometric polynomials are found. An exact inequality of Jackson type with a special module of continuity is found.
Keywords: integral approximations of individual functions by trigonometric polynomials, direct theorems of approximation theory.
Received: 09.02.2012
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2014, Volume 284, Issue 1, Pages 41–58
DOI: https://doi.org/10.1134/S0081543814020047
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: A. G. Babenko, N. V. Dolmatova, Yu. V. Kryakin, “Jackson's exact inequality with a special module of continuity”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 4, 2012, 51–67; Proc. Steklov Inst. Math. (Suppl.), 284, suppl. 1 (2014), 41–58
Citation in format AMSBIB
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\paper Jackson's exact inequality with a~special module of continuity
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2012
\vol 18
\issue 4
\pages 51--67
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2014
\vol 284
\issue , suppl. 1
\pages 41--58
\crossref{https://doi.org/10.1134/S0081543814020047}
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  • https://www.mathnet.ru/eng/timm866
  • https://www.mathnet.ru/eng/timm/v18/i4/p51
    • This publication is cited in the following 1 articles:
    1. Alexander G. Babenko, Yuriy V. Kryakin, Applied and Numerical Harmonic Analysis, Topics in Classical and Modern Analysis, 2019, 35  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 :156
    References:63
    First page:22
     
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