ERROR ANALYSIS ASSOCIATED WITH UNIFORM HERMITE INTERPOLATIONS OF BANDLIMITED FUNCTIONS

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ERROR ANALYSIS ASSOCIATED WITH UNIFORM HERMITE INTERPOLATIONS OF BANDLIMITED FUNCTIONS

Annaby, Mahmoud H.; Asharabi, Rashad M.

Journal of the Korean Mathematical Society, 11/2010, Volume: 47, Issue: 6

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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. KCI Citation Count: 12

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Annaby, Mahmoud H. | Asharabi, Rashad M.

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