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Zapiski Nauchnykh Seminarov LOMI, 1984, Volume 139, Pages 125–138 (Mi znsl1741)  
This article is cited in 3 scientific papers (total in 3 papers)

Local approximations on manifolds and weighted estimates

Yu. K. Dem'yanovich
Full-text PDF (801 kB) Citations (3)
Abstract: An approach proposed by the author for representing spaces of local functions (s.l.f.) by means of an abstract function with values in the dual space is developed; thanks to this generalization of s.l.f. to the case of a nonuniform net and manifolds are obtained. Moreover, some weighted estimates of approximation by regular s.l.f. are established, and simple proofs are given of theorems of approximation by regular s.l.f. in the spaces of S. L. Sobolev and O. V. Besov.
English version:
Journal of Soviet Mathematics, 1987, Volume 36, Issue 2, Pages 261–269
DOI: https://doi.org/10.1007/BF01091806
Bibliographic databases:
UDC: 518
Language: Russian
Citation: Yu. K. Dem'yanovich, “Local approximations on manifolds and weighted estimates”, Computational methods and algorithms. Part VII, Zap. Nauchn. Sem. LOMI, 139, "Nauka", Leningrad. Otdel., Leningrad, 1984, 125–138; J. Soviet Math., 36:2 (1987), 261–269
Citation in format AMSBIB
\Bibitem{Dem84}
\by Yu.~K.~Dem'yanovich
\paper Local approximations on manifolds and weighted estimates
\inbook Computational methods and algorithms. Part~VII
\serial Zap. Nauchn. Sem. LOMI
\yr 1984
\vol 139
\pages 125--138
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1741}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=756650}
\zmath{https://zbmath.org/?q=an:0609.41032|0558.41034}
\transl
\jour J. Soviet Math.
\yr 1987
\vol 36
\issue 2
\pages 261--269
\crossref{https://doi.org/10.1007/BF01091806}
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  • https://www.mathnet.ru/eng/znsl/v139/p125
    • 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
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