Estimates of Kolmogorov's \(\varepsilon\)-entropy for compact sets of infinitely differentiable aperiodic functions (Babenko's problem)

DOI10.1134/S1064562413050013zbMath1284.41017OpenAlexW2049584207MaRDI QIDQ393839

Vladimir N. Belykh

Publication date: 24 January 2014

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562413050013

zbMATH Keywords

entropyGevrey classcomputational fluid dynamicscompact setinfinitely differentiable function

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (1)

On the best linear approximation of holomorphic functions

Cites Work

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• Asymptotics of Kolmogorov's \(\varepsilon \)-entropy for some classes of infinitely differentiable periodic functions (Babenko's problem)
• Rational approximation and \(n\)-dimensional diameter
• APPROXIMATE DIMENSION AND BASES IN NUCLEAR SPACES
• On the representation of analytic functions by infinite series

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