gives the economized rational approximation to expr that is good over the interval to , with numerator order m and denominator order n.
- To use EconomizedRationalApproximation, you first need to load the Function Approximations Package using Needs["FunctionApproximations`"].
- EconomizedRationalApproximation finds the Padé approximant about the midpoint of the interval to , and then perturbs the approximant with Chebyshev polynomials to reduce the leading coefficient in the error.
- The Wolfram Language can find the economized rational approximant over the interval to only when it can evaluate power series at the midpoint of the interval.
- EconomizedRationalApproximation produces a ratio of ordinary polynomial expressions, not a special SeriesData object.