On Kolmogorov's \({\epsilon}\)-entropy for a compact set of infinitely differentiable aperiodic functions (Babenko's problem)

DOI10.1134/S1064562418060066zbMath1408.41022OpenAlexW2899759255MaRDI QIDQ1709843

Vladimir N. Belykh

Publication date: 15 January 2019

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

Full work available at URL: https://doi.org/10.1134/s1064562418060066

Mathematics Subject Classification ID

Approximate quadratures (41A55) (C^infty)-functions, quasi-analytic functions (26E10)

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Cites Work

• On the absolute \(\varepsilon \)-entropy of some compact set of infinitely differentiable periodic functions
• Uniform approximation of differentiable functions by algebraic polynomials
• 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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