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Five lectures on the Algorithmic Aspects of Approximation
The Alternating Algorithm in NonUniformly
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analytic functions Approximation Theory Banach space best approximation best quadrature formula Blaschke product boundary value problems C. A. Micchelli Cauchy-Schwarz inequality characterized Chebyshev center compact consider constant continuous convergence convex define denote Department of Mathematics discussed equation equivalent error estimates example exists finite element method finite element spaces follows Galerkin method given hence Hilbert space Hq(G independent of h inequality inf sup intrinsic error Lemma linear operator linear optimal algorithm Math matrix maximum norm minimize monosplines Neumann problem nodes non-convex Note obtain optimal information optimal interpolation optimal numerical optimal sampling points orthogonal projection polygonal domain proof of Theorem prove proximity maps restriction result Rivlin satisfies semi-norm shows smooth Sobolev spaces solution spline subset subspace Suppose Theorem 3.1 triangle unique unitarily invariant weak formulation zero