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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2001, Volume 232, Pages 45–57 (Mi tm203)  
This article is cited in 11 scientific papers (total in 11 papers)

Polynomials of Least Deviation from Zero and Chebyshev-Type Cubature Formulas

N. N. Andreev, V. A. Yudin
Full-text PDF (216 kB) Citations (11)
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Abstract: The problem about a polynomial of least deviation from zero on a multidimensional sphere is solved in some special cases. For known spherical configurations, a family of subspaces of harmonic polynomials is described for which the Chebyshev-type cubature formulas on the sphere are exact.
Received in September 2000
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: N. N. Andreev, V. A. Yudin, “Polynomials of Least Deviation from Zero and Chebyshev-Type Cubature Formulas”, Function spaces, harmonic analysis, and differential equations, Collected papers. Dedicated to the 95th anniversary of academician Sergei Mikhailovich Nikol'skii, Trudy Mat. Inst. Steklova, 232, Nauka, MAIK «Nauka/Inteperiodika», M., 2001, 45–57; Proc. Steklov Inst. Math., 232 (2001), 39–51
Citation in format AMSBIB
\Bibitem{AndYud01}
\by N.~N.~Andreev, V.~A.~Yudin
\paper Polynomials of Least Deviation from Zero and Chebyshev-Type Cubature Formulas
\inbook Function spaces, harmonic analysis, and differential equations
\bookinfo Collected papers. Dedicated to the 95th anniversary of academician Sergei Mikhailovich Nikol'skii
\serial Trudy Mat. Inst. Steklova
\yr 2001
\vol 232
\pages 45--57
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm203}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1851439}
\zmath{https://zbmath.org/?q=an:1001.41016}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2001
\vol 232
\pages 39--51
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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