Approximation Power of Smooth Bivariate pp (piecewise polynomials) functions.
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WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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Bivariate piecewise polynomials in C sub rho of degree or k on some triangulation delta are shown to approximate to smooth functions to within delta sub k1 if k 3rho 1. The argument makes essential use of the Bernstein-Bezier polynomial form. Keywords multivariate splines degree of approximation.
- Numerical Mathematics