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On the uniform approximation of holomorphic functions on convex sets by means of interpolation polynomials

  • Thomas Kövari
Convergence Theory
Part of the Lecture Notes in Mathematics book series (LNM, volume 1105)

Abstract

The principal aim of this paper is to give an explicit construction for a sequence of polynomials that interpolates the function f on a given system of nodes and also converges to f uniformly. The functions we are able to approximate in this manner are continuous on the compact convex set K, and holomorphic in the interior of K.

Keywords

Uniform Approximation Jordan Curve Interpolation Polynomial Jordan Domain Regular Node 
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References

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Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • Thomas Kövari
    • 1
  1. 1.Department of MathematicsImperial CollegeLondon

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