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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 262, Pages 223–226 (Mi znsl1116)  
On polynomial bases for the space $C[-1,1]$

M. A. Skopina

Saint-Petersburg State University
Full-text PDF (147 kB)
Abstract: For any $\varepsilon>0$ an orthogonal basis for the space $C[-1,1]$ is constructed consisting of algebraic polynomials $P_n$ with deg $P_n\le n(1+\varepsilon)$. The growth of degrees is best possible.
Received: 01.03.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 110, Issue 5, Pages 3027–3028
DOI: https://doi.org/10.1023/A:1015351723671
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: M. A. Skopina, “On polynomial bases for the space $C[-1,1]$”, Investigations on linear operators and function theory. Part 27, Zap. Nauchn. Sem. POMI, 262, POMI, St. Petersburg, 1999, 223–226; J. Math. Sci. (New York), 110:5 (2002), 3027–3028
Citation in format AMSBIB
\Bibitem{Sko99}
\by M.~A.~Skopina
\paper On polynomial bases for the space $C[-1,1]$
\inbook Investigations on linear operators and function theory. Part~27
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 262
\pages 223--226
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1116}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1734338}
\zmath{https://zbmath.org/?q=an:0997.42019}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 110
\issue 5
\pages 3027--3028
\crossref{https://doi.org/10.1023/A:1015351723671}
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