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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2009, Volume 49, Number 7, Pages 1175–1183 (Mi zvmmf4716)  
This article is cited in 5 scientific papers (total in 5 papers)

External estimation of a segment function by a polynomial strip

I. Yu. Vygodchikova, S. I. Dudov, E. V. Sorina

Saratov State University, ul. Astrakhanskaya 42, Saratov, 410012, Russia
Full-text PDF (1215 kB) Citations (5)
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Abstract: The problem is considered of constructing a least-width strip with a polynomial axis that contains the graph of a given continuous segment function. Convex analysis methods are used to obtain a criterion for solving the problem in a form comparable to the Chebyshev alternance. Sufficient conditions for the uniqueness of a solution are given, including those taking into account the differential properties of the segment function to be estimated.
Key words: stimation of a segment function, polynomial strip, subdifferential, alternance, snake problem.
Received: 20.10.2008
English version:
Computational Mathematics and Mathematical Physics, 2009, Volume 49, Issue 7, Pages 1119–1127
DOI: https://doi.org/10.1134/S0965542509070057
Bibliographic databases:
Document Type: Article
UDC: 519.658
Language: Russian
Citation: I. Yu. Vygodchikova, S. I. Dudov, E. V. Sorina, “External estimation of a segment function by a polynomial strip”, Zh. Vychisl. Mat. Mat. Fiz., 49:7 (2009), 1175–1183; Comput. Math. Math. Phys., 49:7 (2009), 1119–1127
Citation in format AMSBIB
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\vol 49
\issue 7
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :120
    References:43
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