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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2009, Volume 15, Number 1, Pages 222–239 (Mi timm217)  
Invariants and Chebyshev polynomials

V. A. Yudin

Moscow Power Engineering Institute (Technical University)
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Abstract: On different compact sets from $\mathbb R^n$, new multidimensional analogs of algebraic polynomials of least deviation from zero (the Chebyshev polynomials) are constructed. A brief review of the analogs constructed earlier is given. Estimates of best approximations obtained by using extremal signatures, lattices, and finite groups are presented.
Keywords: lattices, invariants, designs, best approximations.
Received: 18.02.2008
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2009, Volume 265, Issue 1, Pages S227–S245
DOI: https://doi.org/10.1134/S0081543809060182
Bibliographic databases:
Document Type: Article
UDC: 517.956.8
Language: Russian
Citation: V. A. Yudin, “Invariants and Chebyshev polynomials”, Trudy Inst. Mat. i Mekh. UrO RAN, 15, no. 1, 2009, 222–239; Proc. Steklov Inst. Math. (Suppl.), 265, suppl. 1 (2009), S227–S245
Citation in format AMSBIB
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\by V.~A.~Yudin
\paper Invariants and Chebyshev polynomials
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2009
\vol 15
\issue 1
\pages 222--239
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\elib{https://elibrary.ru/item.asp?id=11929790}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2009
\vol 265
\issue , suppl. 1
\pages S227--S245
\crossref{https://doi.org/10.1134/S0081543809060182}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000268192700018}
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