Classical and approximate sampling theorems; studies in the \(L^{p}(\mathbb R)\) and the uniform norm
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Publication:2581444
DOI10.1016/j.jat.2005.07.011zbMath1089.94013OpenAlexW1975772361MaRDI QIDQ2581444
Rudolf L. Stens, J. R. Higgins, Paul L. Butzer
Publication date: 10 January 2006
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2005.07.011
Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Approximation by operators (in particular, by integral operators) (41A35) Remainders in approximation formulas (41A80) Sampling theory in information and communication theory (94A20)
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Cites Work
- Approximation error of the Whittaker cardinal series in terms of an averaged modulus of smoothness covering discontinuous signals
- The sampling theorem and linear prediction in signal analysis
- On the \(L^ p\) convergence of Lagrange interpolating entire functions of exponential type
- Improper integrals, simple integrals, and numerical quadrature
- Whittaker-Kotelnikov-Shannon sampling theorem and aliasing error
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