NEW BOUNDS FOR TRUNCATION-TYPE ERRORS ON REGULAR SAMPLING EXPANSIONS

DOI10.1081/NFA-120016265zbMath1034.42028MaRDI QIDQ4805997

Nikolaos D. Atreas

Publication date: 24 July 2003

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

zbMATH Keywords

upper boundsampling theorytruncation errorsampling expansionsampling theorem of Shannon

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for wavelets (65T60) General harmonic expansions, frames (42C15) Remainders in approximation formulas (41A80) Sampling theory in information and communication theory (94A20)

Cites Work

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• General sampling theorems for functions in reproducing kernel Hilbert spaces
• Gibbs phenomenon on sampling series based on Shannon's and Meyer's wavelet analysis
• Bounds for Truncation Error of the Sampling Expansion

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