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ERROR ANALYSIS ASSOCIATED WITH UNIFORM HERMITE INTERPOLATIONS OF BANDLIMITED FUNCTIONS
Journal article   Open access  Peer reviewed

ERROR ANALYSIS ASSOCIATED WITH UNIFORM HERMITE INTERPOLATIONS OF BANDLIMITED FUNCTIONS

Mahmoud H. Annaby and Rashad M. Asharabi
Journal of the Korean Mathematical Society, Vol.47(6), pp.1299-1316
01/11/2010

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We derive estimates for the truncation, amplitude and jitter type errors associated with Hermite-type interpolations at equidistant nodes of functions in Paley-Wiener spaces. We give pointwise and uniform estimates. Some examples and comparisons which indicate that applying Hermite interpolations would improve the methods that use the classical sampling theorem are given.
url
https://doi.org/10.4134/JKMS.2010.47.6.1299View
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