Author： Sun Jianing
Publisher： Springer Publishing Company
ISSN： 1069-5869
Source： Journal of Fourier Analysis and Applications, Vol.15, Iss.5, 2009-10, pp. : 739-752
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Abstract
In this paper, we construct a new family of Hermite-type interpolating scaling vectors with compact support, of which the Hermite interpolation property generalizes the existing results of interpolating scaling vectors and Hermite interpolants. In terms of the Hermite interpolatory mask, we characterize the Hermite interpolation property, approximation property and symmetry property in detail. To illustrate these results, several examples with compact support and high smoothness are exhibited at the end of this paper.
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