A novel recursive method to reconstruct multivariate functions on the unit cube

Due to discontinuity on the boundary, traditional Fourier approximation does not work efficiently for d−variate functions on [0, 1]d. In this paper, we will give a recursive method to reconstruct/approximate functions on [0, 1]d well. The main process is as follows: We reconstruct a d−variate functi...

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Bibliographic Details
Main Author: Zhang Zhihua
Format: Article
Language:English
Published: De Gruyter 2017-12-01
Series:Open Mathematics
Subjects:
Online Access:http://www.degruyter.com/view/j/math.2017.15.issue-1/math-2017-0132/math-2017-0132.xml?format=INT