Abstract Rational interpolation by a quotient of two n-th degreee polynomials becomes a linear process if the denominator polynomial is fixed. We suggest to determine it such that the corresponding Lebesgue constant is minimized. The resulting interpolation scheme shows somewhat unsatisfactory behavior for increasing degree. We thus consider limiting the denominator degree.
Numerical results show near exponential convergence even for equidistant interpolation points.
This is joint work with Jean-Paul Berrut.