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» Quadrature in Besov spaces on the Euclidean sphere
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JC
2007
64views more  JC 2007»
13 years 4 months ago
Quadrature in Besov spaces on the Euclidean sphere
Let q ≥ 1 be an integer, Sq denote the unit sphere embedded in the Euclidean space Rq+1, and µq be its Lebesgue surface measure. We establish upper and lower bounds for sup fâˆ...
Kerstin Hesse, H. N. Mhaskar, Ian H. Sloan
NA
2008
78views more  NA 2008»
13 years 4 months ago
A walk through energy, discrepancy, numerical integration and group invariant measures on measurable subsets of euclidean space
(A) The celebrated Gaussian quadrature formula on finite intervals tells us that the Gauss nodes are the zeros of the unique solution of an extremal problem. We announce recent re...
S. B. Damelin