• Title/Summary/Keyword: derivative sampling theorem, truncation

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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
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    • v.47 no.6
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    • pp.1299-1316
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    • 2010
  • 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.