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Matematicheskie Zametki, 1969, Volume 5, Issue 1, Pages 21–30 (Mi mzm6803)  
This article is cited in 1 scientific paper (total in 1 paper)

Approximations by V. A. Steklov functions in Hausdorff metric

V. T. Martynyuk

Dnepropetrovsk State University
Full-text PDF (571 kB) Citations (1)
Abstract: The paper studies approximations of functions defined on the entire number axis and bounded on any finite segment, the approximations being by V. A. Steklov functions in Hausdorff metric. We obtain the value of the exact upper bound of the approximation on classes of functions of given majorant of their moduli of nonmonotonicity.
Received: 27.02.1968
English version:
Mathematical Notes, 1969, Volume 5, Issue 1, Pages 15–20
DOI: https://doi.org/10.1007/BF01098709
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: V. T. Martynyuk, “Approximations by V. A. Steklov functions in Hausdorff metric”, Mat. Zametki, 5:1 (1969), 21–30; Math. Notes, 5:1 (1969), 15–20
Citation in format AMSBIB
\Bibitem{Mar69}
\by V.~T.~Martynyuk
\paper Approximations by V.\,A.~Steklov functions in Hausdorff metric
\jour Mat. Zametki
\yr 1969
\vol 5
\issue 1
\pages 21--30
\mathnet{http://mi.mathnet.ru/mzm6803}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=240523}
\zmath{https://zbmath.org/?q=an:0188.36901}
\transl
\jour Math. Notes
\yr 1969
\vol 5
\issue 1
\pages 15--20
\crossref{https://doi.org/10.1007/BF01098709}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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