Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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


Vestnik Moskov. Univ. Ser. 1. Mat. Mekh.:
Year:
Volume:
Issue:
Page:
Find




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

Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2009, Number 4, Pages 22–28 (Mi vmumm885)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Expansion over a system of shifts of pyramidal functions

T. P. Lukashenko, S. M. Lytkin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (276 kB) Citations (1)
Abstract: A method for approximation of functions of two variables by a linear combination of nonnegative piecewise linear functions with a compact support is presented. The crucial idea of this method consists in an “integral” calculation method for the coefficients. The accuracy of the approximation in the spaces of continuous and integrable functions is proved to have the same order as the best approximation by piecewise linear functions.
Key words: piecewise linear function of two variables, compact support, “integral” coefficients.
Funding agency Grant number
Federal Agency for Science and Innovations of Russian Federation 02.522.11.2008
Received: 25.11.2008
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: T. P. Lukashenko, S. M. Lytkin, “Expansion over a system of shifts of pyramidal functions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 4, 22–28
Citation in format AMSBIB
\Bibitem{LukLyt09}
\by T.~P.~Lukashenko, S.~M.~Lytkin
\paper Expansion over a system of shifts of pyramidal functions
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2009
\issue 4
\pages 22--28
\mathnet{http://mi.mathnet.ru/vmumm885}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2657273}
\zmath{https://zbmath.org/?q=an:1304.41004}
Linking options:
  • https://www.mathnet.ru/eng/vmumm885
  • https://www.mathnet.ru/eng/vmumm/y2009/i4/p22
    • 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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024