Accession Number : ADA131392

Title :   Explicit, Nearly Optimal, Linear Rational Approximation with Preassigned Poles,

Corporate Author : UTAH UNIV SALT LAKE CITY DEPT OF MATHEMATICS

Personal Author(s) : Stenger,Frank

PDF Url : ADA131392

Report Date : Feb 1983

Pagination or Media Count : 68

Abstract : This paper gives explicit rational functions for interpolating and approximating functions on the intervals -1,1, 0, infinity and -infinity, infinity. The rational functions are linear in the function f to be approximated. The error of approximation of these rationals is nearly as small as the error of best rational approximation with numerator and denominator polynomials of the same degree. Regions of analyticity of f are described, which make it possible to tell a priori, the accuracy which we can expect from rational approximation.

Descriptors :   *Rational functions, *Approximation(Mathematics), Algorithms, Polynomials, Analytic functions, Integrals, Interpolation, Intervals, Estimates, Theorems

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE