On generalized hyperinterpolation on the sphere-Reference-Cited by-同舟云学术

On generalized hyperinterpolation on the sphere

Published:2006-04-11 Issue:10 Volume:134 Page:2931-2941
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Dai Feng

Abstract

It is shown that second-order results can be attained by the generalized hyperinterpolation operators on the sphere, which gives an affirmative answer to a question raised by Reimer in Constr. Approx. 18(2002), no. 2, 183–203.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2006-134-10/S0002-9939-06-08421-8/S0002-9939-06-08421-8.pdf

Reference13 articles.

1. Approximation of smooth functions on compact two-point homogeneous spaces;Brown, Gavin;J. Funct. Anal.,2005

2. Kolmogorov width of classes of smooth functions on the sphere 𝕊^{𝕕-1};Brown, Gavin;J. Complexity,2002

3. The uniform norm of hyperinterpolation on the unit sphere in an arbitrary number of dimensions;Le Gia, T.;Constr. Approx.,2001

4. Polynomial operators and local smoothness classes on the unit interval;Mhaskar, H. N.;J. Approx. Theory,2004

5. [M2] H. N. Mhaskar, Weighted quadrature formulas and approximation by zonal function networks on the sphere, Preprint.

Cited by 18 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Learning Rate of Regularized Regression Associated with Zonal Translation Networks;Mathematics;2024-09-12

2. Radial Basis Function Approximation with Distributively Stored Data on Spheres;Constructive Approximation;2023-04-24

3. On the quadrature exactness in hyperinterpolation;BIT Numerical Mathematics;2022-09-05

4. Distributed Learning via Filtered Hyperinterpolation on Manifolds;Foundations of Computational Mathematics;2021-07-12

5. Lasso Hyperinterpolation Over General Regions;SIAM Journal on Scientific Computing;2021-01