The standard method for the linear interpolation on a tetrahedron of a function with continuous second-order partial derivatives bounded by a given constant is considered. Estimates of the approximation of first-order derivatives that are more exact than the known estimates are derived.

中文翻译：

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四面体上的线性插值

考虑在函数四面体上线性插值的标准方法，该函数具有以给定常数为边界的连续二阶偏导数。得出一阶导数近似值的估计值比已知估计值更精确。