Quasi-Monte Carlo integration of digitally smooth functions by digital nets

  • Gerhard Larcher
  • Gottlieb Pirsic
  • Reinhard Wolf Salzburg
Conference paper
Part of the Lecture Notes in Statistics book series (LNS, volume 127)


In a series of papers by the first author and several coauthors, a “digital lattice rule” for the numerical integration of digitally smooth functions by digital nets was developed and investigated. In this paper we give the general concepts of the method and we prove an error estimate which in some sense summarizes and generalizes the currently known error estimates in this field.


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Copyright information

© Springer Science+Business Media New York 1998

Authors and Affiliations

  • Gerhard Larcher
    • 1
  • Gottlieb Pirsic
    • 1
  • Reinhard Wolf Salzburg
    • 1
  1. 1.Institut für MathematikUniversität SalzburgSalzburgAustria

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