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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.

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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