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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Communicated by Stephan Dahlke.
This work was supported by Natural Science Foundation for Youths of Northeast Normal University (No. 20090103).
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Sun, J. Construction of Interpolating Scaling Vectors with Hermite Interpolation Property. J Fourier Anal Appl 15, 739–752 (2009). https://doi.org/10.1007/s00041-009-9091-z
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DOI: https://doi.org/10.1007/s00041-009-9091-z