We construct an hyperinterpolation formula of degree n in the three-dimensional cube, by using the numerical cubature formula for the product Chebyshev measure given by the product of a (near) minimal formula in the square with Gauss-Chebyshev-Lobatto quadrature. The underlying function is sampled a
Cost-Reduction in Hyperinterpolation
โ Scribed by Manfred Reimer
- Book ID
- 105764268
- Publisher
- Springer
- Year
- 2006
- Tongue
- English
- Weight
- 479 KB
- Volume
- 49
- Category
- Article
- ISSN
- 1422-6383
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๐ SIMILAR VOLUMES
We show that hyperinterpolation at (near) minimal cubature points for the product Chebyshev measure, along with Xu compact formula for the corresponding reproducing kernel, provide a simple and powerful polynomial approximation formula in the uniform norm on the square. The Lebesgue constant of the
This paper studies a generalization of polynomial interpolation: given a continuous function over a rather general manifold, hyperinterpolation is a linear approximation that makes use of values of \(f\) on a well chosen finite set. The approximation is a discrete least-squares approximation constru