Numerical Chebyshev Approximation by Interpolating Rationals
Jack Marvin Williams · Mathematics of Computation · 1972
The paper is concerned with the Chebyshev approximation of decay-type functions $f(x)$ by interpolating rationals. The interpolating points are chosen to be the zeros of $f(x)$. Existence, uniqueness and characterization of best approximations are first shown. An exchange algorithm is then described for computing the best approximation.