Birkhoff interpolation

In mathematics, Birkhoff interpolation is an extension of polynomial interpolation. It refers to the problem of finding a polynomial p of degree d such that certain derivatives have specified values at specified points:

where the data points $(x_i,y_i)$ and the nonnegative integers $n_i$ are given. It differs from Hermite interpolation in that it is possible to specify derivatives of p at some points without specifying the lower derivatives or the polynomial itself. The name refers to George David Birkhoff, who first studied the problem in Birkhoff (1906).

单词	Birkhoff Interpolation
释义	Birkhoff Interpolation 英语百科 Birkhoff interpolation In mathematics, Birkhoff interpolation is an extension of polynomial interpolation. It refers to the problem of finding a polynomial p of degree d such that certain derivatives have specified values at specified points: where the data points $(x_i,y_i)$ and the nonnegative integers $n_i$ are given. It differs from Hermite interpolation in that it is possible to specify derivatives of p at some points without specifying the lower derivatives or the polynomial itself. The name refers to George David Birkhoff, who first studied the problem in Birkhoff (1906).
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Birkhoff Interpolation

Birkhoff interpolation