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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 1997, Volume 219, Pages 258–268 (Mi tm619)  

This article is cited in 2 scientific papers (total in 3 papers)

To the Theory of Implicit Functions

S. M. Nikol'skii
Full-text PDF (862 kB) Citations (3)
Abstract: This article constitutes remarks to the classical theorems on implicit functions. The proofs of these theorems are presented and estimates are emphasized which can be useful in the study of the convergence of a sequence of this kind of functions.
Received in June 1997
Bibliographic databases:
Document Type: Article
UDC: 517.275
Language: Russian
Citation: S. M. Nikol'skii, “To the Theory of Implicit Functions”, Approximation theory. Harmonic analysis, Collection of papers dedicated to the memory of Professor Sergei Borisovich Stechkin, Trudy Mat. Inst. Steklova, 219, Nauka, MAIK «Nauka», M., 1997, 258–268; Proc. Steklov Inst. Math., 219 (1997), 254–264
Citation in format AMSBIB
\Bibitem{Nik97}
\by S.~M.~Nikol'skii
\paper To the Theory of Implicit Functions
\inbook Approximation theory. Harmonic analysis
\bookinfo Collection of papers dedicated to the memory of Professor Sergei Borisovich Stechkin
\serial Trudy Mat. Inst. Steklova
\yr 1997
\vol 219
\pages 258--268
\publ Nauka, MAIK «Nauka»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm619}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1642276}
\zmath{https://zbmath.org/?q=an:0919.26005}
\transl
\jour Proc. Steklov Inst. Math.
\yr 1997
\vol 219
\pages 254--264
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  • https://www.mathnet.ru/eng/tm619
  • https://www.mathnet.ru/eng/tm/v219/p258
  • 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
    Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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    Abstract page:268
    Full-text PDF :117
    First page:1
     
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