On approximation by the interpolating series of G. Valiron

zbMath0481.42007MaRDI QIDQ1161874

G. Wilmes, W. Splettstoesser, Rudolf L. Stens

Publication date: 1981

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

zbMATH Keywords

Shannon's sampling theoremde la Vallee Poussin meansValiron's interpolating series

Mathematics Subject Classification ID

Trigonometric interpolation (42A15) Interpolation in approximation theory (41A05)

Related Items (16)

Approximation error of the Whittaker cardinal series in terms of an averaged modulus of smoothness covering discontinuous signals ⋮ Bounds for truncation and perturbation errors of nonuniform sampling series ⋮ Approximation of continuous and discontinuous functions by generalized sampling series ⋮ Approximation of Nonhomogeneous Random Field from Local Averages ⋮ Truncation, amplitude, and jitter errors on \(\mathbb R\) for sampling series derivatives ⋮ Characterization of Besov-Triebel-Lizorkin spaces via approximation by Whittaker's cardinal series and related unconditional Schauder bases ⋮ Truncation error estimates for generalized Hermite sampling ⋮ Explicit irregular sampling formulas ⋮ Aspects of de La Vallée Poussin's work in approximation and its influence ⋮ Approximation of signals from local averages ⋮ Approximation of weak sense stationary stochastic processes from local averages ⋮ Sinc-Gaussian Approach for Solving the Inverse Heat Conduction Problem ⋮ An appreciation of Paul Butzer's work in signal theory ⋮ The Euler-MacLaurin summation formula, the sampling theorem, and approximate integration over the real axis ⋮ Five short stories about the cardinal series ⋮ Sinc-interpolants in the energy plane for regular solution, Jost function, and its zeros of quantum scattering

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