On the power of standard information for multivariate approximation in the worst case setting

  • Authors:

  • Frances Y. Kuo;Grzegorz W. Wasilkowski;Henryk Woniakowski

  • Affiliations:

  • School of Mathematics and Statistics, University of New South Wales, Sydney NSW 2052, Australia;Department of Computer Science, University of Kentucky, Lexington, KY 40506, USA;Department of Computer Science, Columbia University, New York, NY 10027, USA and Institute of Applied Mathematics, University of Warsaw, ul. Banacha 2, 02-097 Warszawa, Poland

  • Venue:
  • Journal of Approximation Theory
  • Year:
  • 2009

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Abstract

For the standard symplectic forms on Jacobi and CMV matrices, we compute Poisson brackets of OPRL and OPUC, and relate these to other basic Poisson brackets and to Jacobians of basic changes of variable.