Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 1, Pages 24–38 (Mi ivm7169)  
This article is cited in 1 scientific paper (total in 1 paper)

Construction of polynomials of a special kind and examples of their application in the theory of power series and in the wavelet theory

E. V. Mishchenko

Chair of Differential Equations, Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (240 kB) Citations (1)
References:
PDF
HTML
Abstract: In this paper we construct polynomials of a special type. We consider examples of their application for studying the convergence of special power series, for determining the upper and lower Riesz bounds for a basis consisting of $B$-splines, and for studying the convergence of a sequence of Battle–Lemarié scaling functions.
Keywords: functional series, $B$-splines, Riesz basis, Battle–Lemarié scaling function, Shennon–Kotel'nikov function.
Received: 13.05.2009
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 1, Pages 19–32
DOI: https://doi.org/10.3103/S1066369X11010038
Bibliographic databases:
Document Type: Article
UDC: 517.537+517.589
Language: Russian
Citation: E. V. Mishchenko, “Construction of polynomials of a special kind and examples of their application in the theory of power series and in the wavelet theory”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 1, 24–38; Russian Math. (Iz. VUZ), 55:1 (2011), 19–32
Citation in format AMSBIB
\Bibitem{Mis11}
\by E.~V.~Mishchenko
\paper Construction of polynomials of a~special kind and examples of their application in the theory of power series and in the wavelet theory
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 1
\pages 24--38
\mathnet{http://mi.mathnet.ru/ivm7169}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2810191}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 1
\pages 19--32
\crossref{https://doi.org/10.3103/S1066369X11010038}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79952819498}
Linking options:
  • https://www.mathnet.ru/eng/ivm7169
  • https://www.mathnet.ru/eng/ivm/y2011/i1/p24
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
    Statistics & downloads:
    Abstract page:413
    Full-text PDF :85
    References:65
    First page:9
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024