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Matematicheskie Zametki, 1977, Volume 21, Issue 2, Pages 161–172 (Mi mzm7942)  

This article is cited in 26 scientific papers (total in 26 papers)

Certain linear differential operators and generalized differences

A. Sharma, I. Tsimbalario

Alberta Edmonton University
Abstract: The solution of the problem of finding the quantity
$$ \sup\limits_{|\Delta^ny_k|\le1}\inf\limits_{\substack{f(k)=y_k\\(k=0,\pm1,\pm2,\dots)}}\|f^{(n)}(x)\|_{C(-\infty,\infty)}, $$
obtained by Subbotin, is extended to the case of formally self-adjoint differential operators with constant coefficients and corresponding generalized differences.
Received: 16.02.1976
English version:
Mathematical Notes, 1977, Volume 21, Issue 2, Pages 91–97
DOI: https://doi.org/10.1007/BF02320546
Bibliographic databases:
UDC: 517.4
Language: Russian
Citation: A. Sharma, I. Tsimbalario, “Certain linear differential operators and generalized differences”, Mat. Zametki, 21:2 (1977), 161–172; Math. Notes, 21:2 (1977), 91–97
Citation in format AMSBIB
\Bibitem{ShaTsi77}
\by A.~Sharma, I.~Tsimbalario
\paper Certain linear differential operators and generalized differences
\jour Mat. Zametki
\yr 1977
\vol 21
\issue 2
\pages 161--172
\mathnet{http://mi.mathnet.ru/mzm7942}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=437989}
\zmath{https://zbmath.org/?q=an:0386.41019|0363.41028}
\transl
\jour Math. Notes
\yr 1977
\vol 21
\issue 2
\pages 91--97
\crossref{https://doi.org/10.1007/BF02320546}
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  • https://www.mathnet.ru/eng/mzm/v21/i2/p161
  • This publication is cited in the following 26 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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