Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2009.04.01
  • Published : 2010.11.01
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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.

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References

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