Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9500672 | Journal of Approximation Theory | 2005 | 25 Pages |
Abstract
This paper establishes properties of discrete orthogonal projections on periodic spline spaces of order r, with knots that are equally spaced and of arbitrary multiplicity M⩽r. The discrete orthogonal projection is expressed in terms of a quadrature rule formed by mapping a fixed J-point rule to each sub-interval. The results include stability with respect to discrete and continuous norms, convergence, commutator and superapproximation properties. A key role is played by a novel basis for the spline space of multiplicity M, which reduces to a familiar basis when M=1.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
R.D. Grigorieff, I.H. Sloan,