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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 1, Pages 82–95 (Mi timm781)  
This article is cited in 7 scientific papers (total in 7 papers)

One-sided approximation in $L$ of the characteristic function of an interval by trigonometric polynomials

A. G. Babenkoab, Yu. V. Kryakinc, V. A. Yudind

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Ural Federal University
c Mathematical Institute, University of Wroclaw
d Moscow Power Engineering Institute (Technical University)
Full-text PDF (310 kB) Citations (7)
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Abstract: For arbitrary $0<h\le\pi$, the value of the best one-sided integral approximation of the characteristic function of the interval $(-h,h)$ by trigonometric polynomials of a given degree is found.
Keywords: one-sided integral approximation of functions by polynomials.
Received: 26.08.2011
English version:
Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2013, Volume 280, Issue 1, Pages S39–S52
DOI: https://doi.org/10.1134/S0081543813020041
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: A. G. Babenko, Yu. V. Kryakin, V. A. Yudin, “One-sided approximation in $L$ of the characteristic function of an interval by trigonometric polynomials”, Trudy Inst. Mat. i Mekh. UrO RAN, 18, no. 1, 2012, 82–95; Proc. Steklov Inst. Math., 280, suppl. 1 (2013), S39–S52
Citation in format AMSBIB
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\paper One-sided approximation in~$L$ of the characteristic function of an interval by trigonometric polynomials
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2012
\vol 18
\issue 1
\pages 82--95
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\transl
\jour Proc. Steklov Inst. Math.
\yr 2013
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\issue , suppl. 1
\pages S39--S52
\crossref{https://doi.org/10.1134/S0081543813020041}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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