BIT Numerical Mathematics

, Volume 41, Issue 3, pp 451–464 | Cite as

Expansion Over a Rectangle of Real Functions in Bernoulli Polynomials and Applications

  • F. A. Costabile
  • F. Dell'accio


In this paper we generalize an expansion in Bernoulli polynomials for real functions possessing a sufficient number of derivatives. Starting from this expansion we obtain useful kernels, which are substantially different from Sard's for a wide class of linear functionals that includes the truncation error for cubature formulas.

Bernoulli polynomial Taylor expansion Sard kernels 


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Copyright information

© Swets & Zeitlinger 2001

Authors and Affiliations

  • F. A. Costabile
    • 1
  • F. Dell'accio
    • 1
  1. 1.Dipartimento di MatematicaUniversità della CalabriaArcavacata, Rende, (CS)Italy

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