Paper Title:

On Some Constructive Method of Rational Approximation

Author(s):

Vasiliy A. Prokhorov

Department of Mathematics and Statistics
University of South Alabama
Mobile, Alabama 36688-0002,
USA.

E-mail: prokhoro@southalabama.edu
URL: http://www.southalabama.edu/mathstat/people/prokhorov.shtml

Abstract:

We study a constructive method of rational approximation of analytic functions based on ideas of the theory of Hankel operators. Some properties of the corresponding Hankel operator are investigated. We also consider questions related to the convergence of rational approximants. Analogues of Montessus de Ballore's and Gonchars's theorems on the convergence of rows of Padé approximants are proved.

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