The approximation order of polysplines
Copyright policy )The approximation order of polysplines
We show that the scaling spaces defined by the polysplines of order p p provide approximation order 2 p . 2p. For that purpose we refine the results on one-dimensional approximation order by L L -splines obtained by de Boor, DeVore, and Ron (1994).
- University of Duisburg-Essen Germany
- University College Dublin Ireland
- Institute of Mathematics and Informatics Bulgaria
- Bulgarian Academy of Sciences Bulgaria
approximation order, Cardinal polysplines, Cardinal L-splines, Polyharmonic functions, Cardinal splines, Polysplines, Biharmonic and polyharmonic equations and functions in higher dimensions, polyharmonic functions, Spline approximation, Approximation order of splines, Boundary value problems for higher-order elliptic equations, polysplines
approximation order, Cardinal polysplines, Cardinal L-splines, Polyharmonic functions, Cardinal splines, Polysplines, Biharmonic and polyharmonic equations and functions in higher dimensions, polyharmonic functions, Spline approximation, Approximation order of splines, Boundary value problems for higher-order elliptic equations, polysplines
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