Transfinite Interpolation by Blending Functions, Best One-Sided L1-Approximation, and Cubature Formulae

  • Dimiter P. Dryanov
Conference paper
Part of the International Series of Numerical Mathematics book series (ISNM, volume 145)


The main purpose of this paper is to present results on blending—type interpolastion, best multivariate L1—approximation, and cubature formulae for approximate integration of multiple integrals. Since the classical concept of the Haar—Chebyshev condition is essentially restricted to the univariate case we try to give a new treatment of the notion for a HaarChebyshev system in the multivariate case.


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Copyright information

© Springer Basel AG 2003

Authors and Affiliations

  • Dimiter P. Dryanov
    • 1
  1. 1.Départment de Mathématiques et de StatistiqueUniversité de MontréalMontréalCanada

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