Polynomial, sinc and rational function methods for approximating analytic functions

  • Frank Stenger
Survey Articles
Part of the Lecture Notes in Mathematics book series (LNM, volume 1105)


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.


Rational Approximation Sine Function Laurent Series Sinc Function Taylor Polynomial 
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Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • Frank Stenger
    • 1
  1. 1.Department of MathematicsUniversity of UtahSalt Lake City

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