Kategorie:Lagrange'sches Interpolationspolynom

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Lagrange'sches Interpolationspolynom[edit]
p(x) = y_0 L_0(x) + y_1 L_1(x) + \ldots + y_n L_n(x)
wobei L_i(x) = \prod_{j \not= i} \frac{x-x_j}{x_i - x_j} = \frac{(x-x_0)\ldots (x - x_{i-1})(x-x_{i+1})\ldots (x-x_n)}{x_i - x_0)\ldots (x_i - x_{i-1})(x_i - x_{i+1})\ldots (x_i - x_n)}

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