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Mathematics of the USSR-Izvestiya, 1982, Volume 19, Issue 1, Pages 197–214
DOI: https://doi.org/10.1070/IM1982v019n01ABEH001408 (Mi im1591) 		 
$k$-snakes as a generalization of polynomials deviating least from zero under constraints

V. V. Kovtunets
English version PDF (1066 kB)
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DOI: https://doi.org/10.1070/IM1982v019n01ABEH001408
Abstract: This paper establishes existence theorems for $k$-snakes, studies their motion under the variation of a parameter, and presents a differential equation satisfied by the snakes. The results contain, as special cases, corresponding properties of constrained polynomials that deviate least from zero.
Bibliography: 15 titles.
Received: 03.07.1979
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1981, Volume 45, Issue 4, Pages 905–925
Bibliographic databases:
UDC: 517.518.86
MSC: 41A10, 41A29, 41A50
Language: English
Original paper language: Russian
Citation: V. V. Kovtunets, “$k$-snakes as a generalization of polynomials deviating least from zero under constraints”, Izv. Akad. Nauk SSSR Ser. Mat., 45:4 (1981), 905–925; Math. USSR-Izv., 19:1 (1982), 197–214
Citation in format AMSBIB
\Bibitem{Kov81}
\by V.~V.~Kovtunets
\paper $k$-snakes as a~generalization of polynomials deviating least from zero under constraints
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1981
\vol 45
\issue 4
\pages 905--925
\mathnet{http://mi.mathnet.ru/im1591}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=631444}
\zmath{https://zbmath.org/?q=an:0494.41021|0484.41033}
\transl
\jour Math. USSR-Izv.
\yr 1982
\vol 19
\issue 1
\pages 197--214
\crossref{https://doi.org/10.1070/IM1982v019n01ABEH001408}
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  • https://www.mathnet.ru/eng/im/v45/i4/p905
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:245
    Russian version PDF:84
    English version PDF:6
    References:39
    First page:1
     
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