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Approximation order for bivariate $$C^ 1$$-cubics on a four-directional mesh is full. (English) Zbl 0792.41023
Summary: We show that the space of bivariate $$C^ 1$$ piecewise cubic polynomial functions on a four-directional mesh of size $$h$$ has the full approximation order, i.e., $$O(h^ 4)$$.

##### MSC:
 41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) 41A15 Spline approximation 41A10 Approximation by polynomials
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##### References:
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