GENERALIZED HERMITE INTERPOLATION AND SAMPLING THEOREM INVOLVING DERIVATIVES

Title & Authors
GENERALIZED HERMITE INTERPOLATION AND SAMPLING THEOREM INVOLVING DERIVATIVES
Shin, Chang-Eon;

Abstract
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)｜$\small{\leq}$ A exp($\small{\sigma}$｜y｜) for some A, $\small{\sigma}$ > 0 and any ｚ=$\small{\varkappa}$ + iy∈C.
Keywords
generalized Hermite interpolation;sampling theorem;contour integral;
Language
English
Cited by
1.
A Modification of Hermite Sampling with a Gaussian Multiplier, Numerical Functional Analysis and Optimization, 2015, 36, 4, 419
2.
Generalized sinc-Gaussian sampling involving derivatives, Numerical Algorithms, 2016, 73, 4, 1055
3.
Truncation error estimates for generalized Hermite sampling, Numerical Algorithms, 2016
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