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Quadrature formulae and moment problems

  • W. J. Thron
Numerical Methods
  • 484 Downloads
Part of the Lecture Notes in Mathematics book series (LNM, volume 1105)

Abstract

Quadrature formulae can play a role in the solution of the moment problem. Formulae with degree of precision 2n − 1 − k, k = 0,1, have previously been used. Here we study when, for k ≥ 2, the node polynomials have only real, simple zeros and when the weights are non-negative.

Keywords

Quadrature Formula Moment Problem Simple Zero Real Zero Monic Polynomial 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1984

Authors and Affiliations

  • W. J. Thron
    • 1
  1. 1.Department of MathematicsUniversity of ColoradoBoulderUSA

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