Spectrum of the exponents of best rational approximation

A method to obtain the best uniform polynomial approximation for the family of rational function

In this article, by using Chebyshev’s polynomials and Chebyshev’s expansion, we obtain the best uniform polynomial approximation out of P2n to a class of rational functions of the form (ax2+c)-1 on any non symmetric interval [d,e]. Using the obtained approximation, we provide the best uniform polynomial approximation to a class of rational functions of the form (ax2+bx+c)-1 for both cases b2-4a...

The best uniform polynomial approximation of two classes of rational functions

In this paper we obtain the explicit form of the best uniform polynomial approximations out of Pn of two classes of rational functions using properties of Chebyshev polynomials. In this way we present some new theorems and lemmas. Some examples will be given to support the results.

a method to obtain the best uniform polynomial approximation for the family of rational function

in this article, by using chebyshev’s polynomials and chebyshev’s expansion, we obtain the best uniform polynomial approximation out of p2n to a class of rational functions of the form (ax2+c)-1 on any non symmetric interval [d,e]. using the obtained approximation, we provide the best uniform polynomial approximation to a class of rational functions of the form (ax2+bx+c)-1 for both cases b2-4a...

The Existence of Rational Functions of Best Approximation*

Rational Transform Approximation via the Laguerre Spectrum

In t roduc t ion An important class of functions from the point of view of signal representation and approximation is the class with n th order rational Laplace transforms. These functions arise naturally in such fields as model identification and timedomain synthesis. The problem of finding the best n th order rational function to represent a given time function is, therefore, important; unfor...