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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 2, Pages 30–34 (Mi ivm8971)  
This article is cited in 3 scientific papers (total in 3 papers)

On approximation of multivalued mapping by algebraic polynomial with constraints

I. Yu. Vygodchikova

Chair of Mathematical Economy, Saratov State University, 83 Astrahanskaya str., Saratov, 410012 Russia
Full-text PDF (161 kB) Citations (3)
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Abstract: We consider a discrete problem of the best uniform approximation of multivalued mapping by segment images by an algebraic polynomial with constraints upon the value of the approximating polynomial in several nodes of a grid. We establish a criterion of optimality of the solution, which is a generalization of the P. L. Chebyshev's alternance.
Keywords: multivalued mapping, approximating polynomial, alternance optimality conditions.
Received: 01.08.2013
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, Volume 59, Issue 2, Pages 25–28
DOI: https://doi.org/10.3103/S1066369X15020048
Bibliographic databases:
Document Type: Article
UDC: 517.518+519.651
Language: Russian
Citation: I. Yu. Vygodchikova, “On approximation of multivalued mapping by algebraic polynomial with constraints”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 2, 30–34; Russian Math. (Iz. VUZ), 59:2 (2015), 25–28
Citation in format AMSBIB
\Bibitem{Vyg15}
\by I.~Yu.~Vygodchikova
\paper On approximation of multivalued mapping by algebraic polynomial with constraints
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 2
\pages 30--34
\mathnet{http://mi.mathnet.ru/ivm8971}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 2
\pages 25--28
\crossref{https://doi.org/10.3103/S1066369X15020048}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84921872991}
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  • https://www.mathnet.ru/eng/ivm/y2015/i2/p30
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:63
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