Approximation of Functions on a Square by Interpolation Polynomials at Vertices and Few Fourier Coefficients
Author
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-05-22
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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 and linear interpolation on the boundary of the square to derive a new approximation scheme such that we can use the values of the target function at vertices of the square and few Fourier coefficients to reconstruct the target function with very small error.
American Psychological Association (APA)
Zhang, Zhihua. 2017. Approximation of Functions on a Square by Interpolation Polynomials at Vertices and Few Fourier Coefficients. Journal of Function Spaces،Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1176659
Modern Language Association (MLA)
Zhang, Zhihua. Approximation of Functions on a Square by Interpolation Polynomials at Vertices and Few Fourier Coefficients. Journal of Function Spaces No. 2017 (2017), pp.1-7.
https://search.emarefa.net/detail/BIM-1176659
American Medical Association (AMA)
Zhang, Zhihua. Approximation of Functions on a Square by Interpolation Polynomials at Vertices and Few Fourier Coefficients. Journal of Function Spaces. 2017. Vol. 2017, no. 2017, pp.1-7.
https://search.emarefa.net/detail/BIM-1176659
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1176659