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Error estimates for sampling approximation of non‐bandlimited functions
Author(s) -
Splettstößer W.,
Törnig W.
Publication year - 1979
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670010202
Subject(s) - mathematics , bandlimiting , convergence (economics) , sampling (signal processing) , class (philosophy) , rate of convergence , nonuniform sampling , weak convergence , mathematical analysis , calculus (dental) , algorithm , fourier transform , medicine , channel (broadcasting) , computer security , filter (signal processing) , dentistry , artificial intelligence , quantization (signal processing) , computer science , economics , asset (computer security) , computer vision , economic growth , engineering , electrical engineering
A new proof of the sampling theorem for non‐bandlimited signals is presented. It leads to better rates of convergence for the envolved approximation process. Furthermore, the order of convergence is given for an extended class of functions.