Complexity of Monte Carlo integration for Besov classes on the unit sphere
Author:
Funder
National Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Control and Optimization,Analysis,Algebra and Number Theory
Link
https://link.springer.com/content/pdf/10.1007/s43034-022-00243-z.pdf
Reference41 articles.
1. Bakhvalov, N.S.: On a rate of convergence of indeterministic integration processes within the functional classes $$W_p^{(l)}$$. Theory Probab. Appl. 7, 227 (1962)
2. Beckmann, J., Mhaskar, H.N., Prestin, J.: Local numerical integration on the sphere. GEM Int. J. Geomath. 5, 143–162 (2014)
3. Brauchart, J.S., Dick, J.: Quasi-Monte Carlo rules for numerical integration over the unit sphere. Numer. Math. 121(3), 473–502 (2012)
4. Brauchart, J.S., Hesse, K.: Numerical integration over spheres of arbitrary dimension. Constr. Approx. 25, 41–71 (2007)
5. Brown, G., Dai, F.: Approximation of smooth functions on compact two-point homogeneous spaces. J. Funct. Anal. 220, 401–423 (2005)
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