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Fundamentalnaya i Prikladnaya Matematika, 2000, Volume 6, Issue 4, Pages 1205–1220 (Mi fpm536)  
This article is cited in 5 scientific papers (total in 5 papers)

Lipshitz retractions and the operator of generalized rational approximation

C. S. Rjutin

M. V. Lomonosov Moscow State University
Full-text PDF (548 kB) Citations (5)
Abstract: In this paper we consider two problems: the existence of Lipshitz retractions on curve in normed space and smoothness of the operators of generalized rational approximation.
Received: 01.05.1997
Bibliographic databases:
UDC: 517.518.84+517.982.256
Language: Russian
Citation: C. S. Rjutin, “Lipshitz retractions and the operator of generalized rational approximation”, Fundam. Prikl. Mat., 6:4 (2000), 1205–1220
Citation in format AMSBIB
\Bibitem{Ryu00}
\by C.~S.~Rjutin
\paper Lipshitz retractions and the~operator of generalized rational approximation
\jour Fundam. Prikl. Mat.
\yr 2000
\vol 6
\issue 4
\pages 1205--1220
\mathnet{http://mi.mathnet.ru/fpm536}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1813020}
\zmath{https://zbmath.org/?q=an:1057.41009}
Linking options:
  • https://www.mathnet.ru/eng/fpm536
  • https://www.mathnet.ru/eng/fpm/v6/i4/p1205
    • This publication is cited in the following 5 articles:
    1. A. R. Alimov, K. S. Ryutin, I. G. Tsar'kov, “Existence, uniqueness, and stability of best and near-best approximations”, Russian Math. Surveys, 78:3 (2023), 399–442  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. A. R. Alimov, I. G. Tsar'kov, “Connectedness and solarity in problems of best and near-best approximation”, Russian Math. Surveys, 71:1 (2016), 1–77  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    3. A. R. Alimov, I. G. Tsar'kov, “Connectedness and other geometric properties of suns and Chebyshev sets”, J. Math. Sci., 217:6 (2016), 683–730  mathnet  crossref  mathscinet
    4. E. D. Livshits, “On Almost-Best Approximation by Piecewise Polynomial Functions in the Space C[0,1]”, Math. Notes, 78:4 (2005), 586–591  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    5. C. S. Rjutin, “Uniform Continuity of Generalized Rational Approximations”, Math. Notes, 71:2 (2002), 236–244  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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    Abstract page:313
    Full-text PDF :157
    References:1
    First page:2
     
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