Approximation by amplitude and frequency operators

DOI10.1016/j.jat.2016.02.005zbMath1346.30019arXiv1409.4188OpenAlexW132747027MaRDI QIDQ281532

Petr Chunaev, Vladimir I. Danchenko

Publication date: 11 May 2016

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

Full work available at URL: https://arxiv.org/abs/1409.4188

zbMATH Keywords

moment problemsamplitude and frequency operatorsinterpolation problems

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Moment problems and interpolation problems in the complex plane (30E05) Numerical differentiation (65D25) Numerical integration (65D30)

Related Items (13)

Approximation by amplitude and frequency operators ⋮ Convergence rate of one class of differentiating sums ⋮ Extraction of pairs of harmonics from trigonometric polynomials by phase-amplitude operators ⋮ Bernstein-Type Estimates for the Derivatives of Trigonometric Polynomials ⋮ Rate of approximation of \(z f^\prime (z)\) by special sums associated with the zeros of the Bessel polynomials ⋮ On the rate of approximation in the unit disc of -functions by logarithmic derivatives of polynomials with zeros on the boundary ⋮ Extremal and approximative properties of simple partial fractions ⋮ Estimates of the best approximation of polynomials by simple partial fractions ⋮ Interpolation by generalized exponential sums with equal weights ⋮ Approximation by sums of the form \(\sigma_k\lambda_k h(\lambda_kz)\) in the disk ⋮ Algebraic analogs of Fejer inequalities ⋮ Modifications of Prony's method for the recovery and sparse approximation with generalized exponential sums ⋮ Extraction of harmonics from trigonometric polynomials by phase-amplitude operators

Cites Work

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• Generalization of Padé approximation from rational functions to arbitrary analytic functions — Theory
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