Some remarks on Rational Barycentric Interpolation

Abstract

Linear barycentric rational interpolant are a specific type of rational interpolants, defined by weight independent of function. These interpolants have recently been a valuable alternative to more classical methods of interpolation. Rational interpolation gives a much better approximation than polynomial, but it is difficult to avoid poles and unattainable points.

In this paper , discuss the use of rational interpolation development, then we try to introduce another barycentric rational interpolant that provides a good result.