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http://dx.doi.org/10.4134/JKMS.2010.47.6.1299

ERROR ANALYSIS ASSOCIATED WITH UNIFORM HERMITE INTERPOLATIONS OF BANDLIMITED FUNCTIONS  

Annaby, Mahmoud H. (DEPARTMENT OF MATHEMATICS STATISTICS & PHYSICS QATAR UNIVERSITY)
Asharabi, Rashad M. (DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE SANA'A UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.47, no.6, 2010 , pp. 1299-1316 More about this Journal
Abstract
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.
Keywords
Hermite interpolations; derivative sampling theorem, truncation; amplitude and jitter errors;
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