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Vladikavkazskii Matematicheskii Zhurnal, 2015, Volume 17, Number 3, Pages 56–64 (Mi vmj553)  
This article is cited in 3 scientific papers (total in 3 papers)

Approximative properties of the Chebyshev wavelet series of the second kind

M. S. Sultanakhmedov

Daghestan Scientific Centre of the Russian Academy of Sciences, Makhachkala, Russia
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Abstract: The wavelets and scaling functions based on Chebyshev polynomials and their zeros are introduced. The constructed system of functions is proved to be orthogonal. Using this system, an orthonormal basis in the space of square-integrable functions is built. Approximative properties of partial sums of corresponding wavelet series are investigated.
Key words: polynomial wavelets, Chebyshev polynomials of second kind, orthogonality, Christoffel–Darboux formula, function approximation, wavelet series.
Received: 13.05.2015
Document Type: Article
UDC: 517.51
Language: Russian
Citation: M. S. Sultanakhmedov, “Approximative properties of the Chebyshev wavelet series of the second kind”, Vladikavkaz. Mat. Zh., 17:3 (2015), 56–64
Citation in format AMSBIB
\Bibitem{Sul15}
\by M.~S.~Sultanakhmedov
\paper Approximative properties of the Chebyshev wavelet series of the second kind
\jour Vladikavkaz. Mat. Zh.
\yr 2015
\vol 17
\issue 3
\pages 56--64
\mathnet{http://mi.mathnet.ru/vmj553}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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