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Doklady Akademii Nauk SSSR, 1973, Volume 208, Number 6, Pages 1282–1285 (Mi dan37470)  

This article is cited in 7 scientific papers (total in 7 papers)

MATHEMATICS

Approximation of differentiable functions of several variables by Fourier sums in the $L_p$ metric

N. S. Nikol'skaya

Moscow State Institute of Electronic Technology
Full-text PDF (404 kB) Citations (7)
Presented: V. S. Vladimirov
Received: 17.04.1972
Bibliographic databases:
Document Type: Article
UDC: 517.512.6
Language: Russian
Citation: N. S. Nikol'skaya, “Approximation of differentiable functions of several variables by Fourier sums in the $L_p$ metric”, Dokl. Akad. Nauk SSSR, 208:6 (1973), 1282–1285
Citation in format AMSBIB
\Bibitem{Nik73}
\by N.~S.~Nikol'skaya
\paper Approximation of differentiable functions of several variables by Fourier sums in the $L_p$ metric
\jour Dokl. Akad. Nauk SSSR
\yr 1973
\vol 208
\issue 6
\pages 1282--1285
\mathnet{http://mi.mathnet.ru/dan37470}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0350316}
\zmath{https://zbmath.org/?q=an:0295.41012}
Linking options:
  • https://www.mathnet.ru/eng/dan37470
  • https://www.mathnet.ru/eng/dan/v208/i6/p1282
  • This publication is cited in the following 7 articles:
    1. E. M. Skorikov, “The information Kolmogorov width and some exact inequalities between widths”, Izv. Math., 71:3 (2007), 603–627  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    2. A. I. Kozko, “Fractional derivatives and inequalities for trigonometric polynomials in spaces with asymmetric norms”, Izv. Math., 62:6 (1998), 1189–1206  mathnet  crossref  crossref  mathscinet  zmath  isi
    3. È. M. Galeev, “Kolmogorov widths in the space $\widetilde L_q$ of the classes $\widetilde W_p^{\overline\alpha}$ and $\widetilde H_p^{\overline\alpha}$ of periodic functions of several variables”, Math. USSR-Izv., 27:2 (1986), 219–237  mathnet  crossref  mathscinet  zmath
    4. È. M. Galeev, “Order estimates of derivatives of the multidimensional periodic Dirichlet $\alpha$-kernel in a mixed norm”, Math. USSR-Sb., 45:1 (1983), 31–43  mathnet  crossref  mathscinet  zmath
    5. V. E. Maiorov, “Various widths of the class $H_p^r$ in the space $L_q$”, Math. USSR-Izv., 13:1 (1979), 73–87  mathnet  crossref  mathscinet  zmath  isi
    6. E. M. Galeev, “Priblizhenie nekotorykh klassov periodicheskikh funktsii mnogikh peremennykh summami Fure v metrike $\widetilde{\mathscr L}_p$”, UMN, 32:4(196) (1977), 251–252  mathnet  mathscinet  zmath
    7. V. E. Maiorov, “Multidimensional piecewise polynomial approximation on classes of functions with a dominant mixed derivative”, Math. USSR-Sb., 27:2 (1975), 269–288  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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