Multipoint Padé Approximants

function

sinc(2x)

sin

πx

2

-

2

x



Y

0

(x)

filling

Explore the convergence between a given function and its multipoint Padé approximants. The multipoint Padé approximants are calculated for given knot points by using a continued fraction. Drag the locators on the

x

axis—or change their number—to choose the knot points and see the behavior of the Padé approximants for a given function.