Approximation of Functions on a Square by Interpolation Polynomials at Vertices and Few Fourier Coefficients

For a bivariate function on a square, in general, its Fourier coefficients decay slowly, so one cannot reconstruct it by few Fourier coefficients. In this paper we will develop a new approximation scheme to overcome the weakness of Fourier approximation. In detail, we will use Lagrange interpolation...

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Bibliographic Details
Main Author: Zhihua Zhang
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2017/9376505
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