The \(\varepsilon\)-entropy of a compactum of smooth functions

DOI10.1007/BF01099572zbMath0419.46029MaRDI QIDQ1132349

A. V. Toger

Publication date: 1978

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

zbMATH Keywords

Sobolev spacemassivityepsilon-entropycompactum of smooth functions

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Approximation by polynomials (41A10) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46) Trigonometric polynomials, inequalities, extremal problems (42A05)

Cites Work

• Unnamed Item
• On a class of interpolation spaces
• \(\epsilon\)-entropie, \(\epsilon\)-capacite et espaces d'interpolation
• Metric entropy and approximation
• PIECEWISE-POLYNOMIAL APPROXIMATIONS OF FUNCTIONS OF THE CLASSES $ W_{p}^{\alpha}$

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