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Rational Approximation and Interpolation

Volume 1105 of the series Lecture Notes in Mathematics pp 49-72


Polynomial, sinc and rational function methods for approximating analytic functions

  • Frank StengerAffiliated withDepartment of Mathematics, University of Utah

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This paper presents practically useful constructive linear methods of approximation of analytic functions by polynomials, sinc functions and rational functions. Spaces of functions of the type frequently encountered in applications are described for approximation by each method. Within these spaces, the rate of convergence of each approximation is nearly optimal.