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Izvestiya: Mathematics, 1997, Volume 61, Issue 1, Pages 207–223
DOI: https://doi.org/10.1070/im1997v061n01ABEH000111 (Mi im111) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Smoothing of functions in finite-dimensional Banach spaces

I. G. Tsar'kov
English version PDF (235 kB) Citations (2)
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DOI: https://doi.org/10.1070/im1997v061n01ABEH000111
Abstract: We consider the problem of the linear smoothing of continuous functions defined on the unit ball in $\mathbb R^n$, and look for lower bounds for the norms of the derivatives of the approximating functions on the unit balls in arbitrary finite-dimensional spaces.
Received: 28.03.1996
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1997, Volume 61, Issue 1, Pages 199–214
DOI: https://doi.org/10.4213/im111
Bibliographic databases:
MSC: 41A17, 41A35, 41A65
Language: English
Original paper language: Russian
Citation: I. G. Tsar'kov, “Smoothing of functions in finite-dimensional Banach spaces”, Izv. RAN. Ser. Mat., 61:1 (1997), 199–214; Izv. Math., 61:1 (1997), 207–223
Citation in format AMSBIB
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  • https://doi.org/10.1070/im1997v061n01ABEH000111
  • https://www.mathnet.ru/eng/im/v61/i1/p199
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:419
    Russian version PDF:273
    English version PDF:8
    References:62
    First page:1
     
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