Durchmesserabschätzungen für die einheitskugel des sobolev-raumes

DOI10.1080/00036817608839129zbMath0332.46018OpenAlexW2008141051MaRDI QIDQ4098203

Reinhard Scholz

Publication date: 1976

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036817608839129

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) Rate of convergence, degree of approximation (41A25) Approximation by arbitrary linear expressions (41A45)

Related Items (3)

Estimates for \(n\)-widths of sets of smooth functions on the torus \(\mathbb{T}^d\) ⋮ Estimates for \(n\)-widths of multiplier operators of multiple Walsh series ⋮ Abschätzungen linearer Durchmesser in Sobolev- und Besov-Räumen

Cites Work

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• Asymptotic estimates of the \(L_ 2\) \(n\)-width
• Piecewise Hermite interpolation in one and two variables with applications to partial differential equations
• Optimale lineare Approximation beschränkter Mengen in normierten Räumen. (Optimal linear approximation of bounded sets in normed spaces)
• Über die beste Annäherung von Funktionen einer gegebenen Funktionenklasse
• \(L^2\)-approximation by partial sums of orthogonal developments
• $L^\infty $-Multivariate Approximation Theory
• $L^2$-Multivariate Approximation Theory
• The Rate of Convergence for the Finite Element Method

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