• 제목/요약/키워드: generalized Hermite interpolation

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GENERALIZED HERMITE INTERPOLATION AND SAMPLING THEOREM INVOLVING DERIVATIVES

  • Shin, Chang-Eon
    • 대한수학회논문집
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    • 제17권4호
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    • pp.731-740
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    • 2002
  • We derive the generalized Hermite interpolation by using the contour integral and extend the generalized Hermite interpolation to obtain the sampling expansion involving derivatives for band-limited functions f, that is, f is an entire function satisfying the following growth condition |f(z)|$\leq$ A exp($\sigma$|y|) for some A, $\sigma$ > 0 and any z=$\varkappa$ + iy∈C.