Vladikavkazskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Vladikavkaz. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (236 kB) Citations (3)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/vmj553
  • https://www.mathnet.ru/eng/vmj/v17/i3/p56
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Владикавказский математический журнал
    Statistics & downloads:
    Abstract page:246
    Full-text PDF :60
    References:46
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024