EXPLICIT MULTIDIMENSIONAL INTERPOLATION AND ITS ERROR
Abstrakti
The article discusses explicit formulas for multidimensional chaotic interpolation: generalized interpolation formulas of the Newton and Lagrange types. These formulas are generally irrational, but among them, there are polynomial formulas of even order. Estimates of the remainder terms of the generalized Newton and Lagrange interpolation formulas are obtained, as well as for arbitrary interpolation formulas, based solely on the smoothness of the interpolated function and the vanishing of the remainder at the grid points.
Lataukset
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