The sampling theorem, \(L^ T_ q\)-approximation and \(\epsilon\)- dimension

DOI10.1016/0021-9045(92)90052-PzbMath0766.41035OpenAlexW2250624303MaRDI QIDQ1191735

Dinh Dung

Publication date: 27 September 1992

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(92)90052-p

zbMATH Keywords

\(\varepsilon\)-entropysignal reconstruction\(n\)-widthbandlimited functions\(\varepsilon\)- dimensiontruncation \(L_ q^ T\)-approximation

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Application of orthogonal and other special functions (94A11) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (2)

Average widths and optimal recovery of multivariate Besov classes in \(L_p (\mathbb{R}^d)\) ⋮ Discrete characterization of the Paley-Wiener space with several variables

Cites Work

• The sampling theorem and linear prediction in signal analysis
• On the error in reconstructing a non-bandlimited function by means of the bandpass sampling theorem
• Summation formulas and band-limited signals
• Band-limited functions: 𝐿^{𝑝}-convergence
• AN ESTIMATE OF THE CODE LENGTH OF SIGNALS WITH A FINITE SPECTRUM IN CONNECTION WITH SOUND-RECORDING PROBLEMS
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