WOLFRAM|DEMONSTRATIONS PROJECT

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.