Polynomial, sinc and rational function methods for approximating analytic functions

  • Frank Stenger
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DOI: 10.1007/BFb0072399

Part of the Lecture Notes in Mathematics book series (LNM, volume 1105)
Cite this paper as:
Stenger F. (1984) Polynomial, sinc and rational function methods for approximating analytic functions. In: Graves-Morris P.R., Saff E.B., Varga R.S. (eds) Rational Approximation and Interpolation. Lecture Notes in Mathematics, vol 1105. Springer, Berlin, Heidelberg

Abstract

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.

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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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