Uniform approximation on the sphere by least squares polynomials
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s11075-018-0584-1.pdf
Reference22 articles.
1. An, C., Chen, X., Sloan, I.H., Womersley, R.S.: Regularized least squares approximations on the sphere using spherical designs. SIAM J. Numer Anal. 50(3), 1513–1534 (2012)
2. Bauer, R.: Distribution of points on a sphere with application to star catalogs. J. Guid. Cont. Dyn. 23(1), 130–137 (2000)
3. Brown, G., Dai, F.: Approximation of smooth functions on compact two-point homogeneous spaces. J. Funct. Anal. 220, 401–423 (2005)
4. Dai, F.: On generalized hyperinterpolation on the sphere. Proceedings of the American Mathematical Society 134(10), 2931–2941 (2006)
5. Dai, F., Xu, Y.: Approximation theory and harmonic analysis on spheres and balls, volume XVIII of Springer Monographs in Mathematics Springer (2013)
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2. L2 error estimates for polynomial discrete penalized least-squares approximation on the sphere from noisy data;Journal of Computational and Applied Mathematics;2022-07
3. Fast cross-validation in harmonic approximation;Applied and Computational Harmonic Analysis;2020-09
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