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Approximation power of smooth bivariate pp functions. (English) Zbl 0616.41010
Bivariate piecewise polynomials in $$C^{\rho}$$ of degree $$\leq k$$ on some triangulation $$\Delta$$ are shown to approximation to smooth functions to within $$| \Delta | ^{k+1}$$ if $$k>3\rho +1$$. The argument makes essential use of the Bernstein-Bézier polynomial form.

##### MSC:
 41A15 Spline approximation 41A63 Multidimensional problems (should also be assigned at least one other classification number from Section 41-XX) 41A25 Rate of convergence, degree of approximation
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##### References:
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