Erwin Harahap

do Now or Never

Interpolasi Kuadratik

Posted by Erwin on April 7, 2011

Diketahui tiga titik (x_0, y_0), (x_1, y_1), (x_2, y_2)

Buktikan persamaan interpolasi kuadratik

f_2(x) = b_0 + b_1(x-x0) + b_2(x-x_0)(x-x_1)

dimana

b_0 = f(x_0)
b_1 = \frac {f(x_1)-f(x_0)} {x_1-x_0}
b_2 = \frac{\frac{f(x_2)-f(x_1)} {x_2-x_1} - \frac{f(x_1)-f(x_0)} {x_1-x_0}}{x_2-x_0}

Bukti :

Substitusi $ x = x_0

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