Abstract
We want to recover continuous functions on the sphere Sd−1 using only their function values. We obtain the asymptotic orders of the sampling numbers and the linear sampling numbers of Besov classes BBp,θΩ(Sd−1) of generalized smoothness and the Sobolev classes BWpr(Sd−1) in Lq(Sd−1) for all 1≤p,q,θ≤∞.
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