Optimal Recovery of Functions on the Sphere on a Sobolev Spaces with a Gaussian Measure in the Average Case Setting

DOI10.4208/ata.2015.v31.n2.5zbMath1349.41029OpenAlexW3143702020MaRDI QIDQ2992203

Zexia Huang, He Ping Wang

Publication date: 10 August 2016

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/ata.2015.v31.n2.5

zbMATH Keywords

optimal algorithmGaussian measureaverage sampling numbersoptimal recovery on the sphere

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (3)

Average sampling numbers of multivariate periodic function spaces with a Gaussian measure ⋮ Complexity of Monte Carlo integration for Besov classes on the unit sphere ⋮ Optimal recovery of Besov classes of generalized smoothness and Sobolev classes on the sphere

This page was built for publication: Optimal Recovery of Functions on the Sphere on a Sobolev Spaces with a Gaussian Measure in the Average Case Setting