Trudy Matematicheskogo Instituta imeni V.A. Steklova
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 1999, Volume 227, Pages 137–145 (Mi tm551)  
This article is cited in 3 scientific papers (total in 3 papers)

Exact Constants in Kolmogorov-Type Inequalities

M. I. Zelikin, L. F. Zelikina
Full-text PDF (187 kB) Citations (3)
References:
PDF
HTML
Abstract: This work is concerned with the evaluation of Kolmogorov constants. We suggest an effective algorithm using the chattering-control theory for approximately evaluating the best constants $K_m$ in a series of Kolmogorov-type inequalities, which has not been studied so far. The best Kolmogorov constant $K_3$ is found, and asymptotic estimates of $K_m$ with large $m$ are obtained.
Received in May 1999
Bibliographic databases:
UDC: 517
Language: Russian
Citation: M. I. Zelikin, L. F. Zelikina, “Exact Constants in Kolmogorov-Type Inequalities”, Investigations in the theory of differentiable functions of many variables and its applications. Part 18, Collection of papers, Trudy Mat. Inst. Steklova, 227, Nauka, MAIK «Nauka/Inteperiodika», M., 1999, 137–145; Proc. Steklov Inst. Math., 227 (1999), 131–139
Citation in format AMSBIB
\Bibitem{ZelZel99}
\by M.~I.~Zelikin, L.~F.~Zelikina
\paper Exact Constants in Kolmogorov-Type Inequalities
\inbook Investigations in the theory of differentiable functions of many variables and its applications. Part~18
\bookinfo Collection of papers
\serial Trudy Mat. Inst. Steklova
\yr 1999
\vol 227
\pages 137--145
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm551}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1784311}
\zmath{https://zbmath.org/?q=an:0980.41012}
\transl
\jour Proc. Steklov Inst. Math.
\yr 1999
\vol 227
\pages 131--139
Linking options:
  • https://www.mathnet.ru/eng/tm551
  • https://www.mathnet.ru/eng/tm/v227/p137
    • 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
    		Òðóäû Ìàòåìàòè÷åñêîãî èíñòèòóòà èìåíè Â. À. Ñòåêëîâà Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:602
    Full-text PDF :178
    References:48
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024