Constructive Polynomial Approximation on the Sphere

By Ian H. Sloan, R. Womersley. 2000

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This paper considers the problem of constructive approximation of a continuous function on the unit sphere S^r^-^[email protected]?R^r by a spherical polynomial from the space P"n of all spherical polynomials of degree ==3 an upper bound on @?L"[email protected]? of non-optimal asymptotic order O(n^(^r^-^1^)^/^2) also holds, without any special assumption on the quadrature rule.

Subfields: Applied Mathematics, Numerical Analysis

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