Universal truncation error upper bounds in sampling restoration

DOI10.1515/GMJ.2010.033zbMath1203.94082arXiv1307.3346OpenAlexW1936075432MaRDI QIDQ3068159

Tibor K. Pogány, Andrew Ya. Olenko

Publication date: 13 January 2011

Published in: gmj (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.3346

zbMATH Keywords

sinc functionstruncation error upper boundapproximation/interpolation error levelincomplete lambda functionmultidimensional samplingregular sampling theoremPlancherel-Pólya inequalityBernstein function classWhittaker-Kotel'nikov-Shannon sampling restoration formula

Mathematics Subject Classification ID

Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Inequalities for sums, series and integrals (26D15) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Remainders in approximation formulas (41A80) Sampling theory in information and communication theory (94A20)

Related Items (3)

On Generalized Derivative Sampling Series Expansion ⋮ On multivariable Plancherel-Pólya inequality and truncation error upper bounds in irregular sampling ⋮ Influence of Unknown Exterior Samples on Interpolated Values for Band-Limited Images

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