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 Trudy Mat. Inst. Steklov., 1975, Volume 134, Pages 240–253 (Mi tm2715)

An estimate for the approximation of continuous functions by sequences of Fourier sum

K. I. Oskolkov

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English version:
Proceedings of the Steklov Institute of Mathematics, 1977, 134, 273–288

Bibliographic databases:
UDC: 517.52

Citation: K. I. Oskolkov, “An estimate for the approximation of continuous functions by sequences of Fourier sum”, Theory of functions and its applications, A collection of articles dedicated to Academician Sergei Mihailovic Nikol'skii on the occasion of his seventieth birthday, Trudy Mat. Inst. Steklov., 134, 1975, 240–253; Proc. Steklov Inst. Math., 134 (1977), 273–288

Citation in format AMSBIB
\Bibitem{Osk75} \by K.~I.~Oskolkov \paper An estimate for the approximation of continuous functions by sequences of Fourier sum \inbook Theory of functions and its applications \bookinfo A~collection of articles dedicated to Academician Sergei Mihailovic Nikol'skii on the occasion of his seventieth birthday \serial Trudy Mat. Inst. Steklov. \yr 1975 \vol 134 \pages 240--253 \mathnet{http://mi.mathnet.ru/tm2715} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=0402382} \zmath{https://zbmath.org/?q=an:0374.42002|0359.42002} \transl \jour Proc. Steklov Inst. Math. \yr 1977 \vol 134 \pages 273--288 

• http://mi.mathnet.ru/eng/tm2715
• http://mi.mathnet.ru/eng/tm/v134/p240

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. V. N. Temlyakov, “Asymptotic behavior of best approximations of continuous functions”, Math. USSR-Izv., 11:3 (1977), 551–569
2. V. M. Badkov, “Approximation properties of Fourier series in orthogonal polynomials”, Russian Math. Surveys, 33:4 (1978), 53–117
3. S. M. Nikol'skii, “Aleksandrov and Kolmogorov in Dnepropetrovsk”, Russian Math. Surveys, 38:4 (1983), 41–55
4. N. P. Korneichuk, “S. M. Nikol'skii and the development of research on approximation theory in the USSR”, Russian Math. Surveys, 40:5 (1985), 83–156
5. Temlyakov V.N., “Nonlinear methods of approximation”, Foundations of Computational Mathematics, 3:1 (2003), 33–107
6. E. D. Nursultanov, “Nikol'skii's Inequality for Different Metrics and Properties of the Sequence of Norms of the Fourier Sums of a Function in the Lorentz Space”, Proc. Steklov Inst. Math., 255 (2006), 185–202