On the absolute \(\varepsilon \)-entropy of some compact set of infinitely differentiable periodic functions

DOI10.1134/S0037446611030013zbMath1233.46001MaRDI QIDQ642041

Vladimir N. Belykh

Publication date: 25 October 2011

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Gevrey classcompact setinfinitely differentiable function\(\varepsilon \)-entropy

Mathematics Subject Classification ID

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

Related Items (3)

Estimates of Alexandrov's \(n \)-width of the compact set of \(C^{\infty} \)-smooth functions on a finite segment ⋮ On Kolmogorov's \({\epsilon}\)-entropy for a compact set of infinitely differentiable aperiodic functions (Babenko's problem) ⋮ The absolute \({\varepsilon}\)-entropy of a compact set of infinitely differentiable aperiodic functions

Cites Work

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• Asymptotics of Kolmogorov's \(\varepsilon \)-entropy for some classes of infinitely differentiable periodic functions (Babenko's problem)
• Exterior axisymmetric Neumann problem for the Laplace equation: Numerical algorithms without saturation
• Rational approximation and \(n\)-dimensional diameter
• APPROXIMATE DIMENSION AND BASES IN NUCLEAR SPACES
• On solving the problem of an ideal incompressible fluid flow around large-aspect-ratio axisymmetric bodies

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