Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
Error Estimate of a Gaussian Kernel Sampling Formula via Complex Analysis(Theory)
Ken'ichiro TanakaMasaaki SugiharaKazuo Murota
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2007 Volume 17 Issue 2 Pages 73-95

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Abstract
For a sampling formula with the sinc-Gaussian kernel Qian et al. have recently given an error estimate for the class of band-limited functions with the aid of tools from Fourier analysis. By using complex analysis, we give in this paper an error estimate for a wider class of functions. Part of the result of Qian et al. can be derived from ours as an immediate corollary. Computational results show a fairly good agreement with the theoretical convergence rates.
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© 2007 The Japan Society for Industrial and Applied Mathematics
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