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 fromSard’s for a wide class of linear functionals that includes the truncation error for cubature formulas.

Expansion over a rectangle of real functions in Bernoulli polynomials and applications

DELL'ACCIO, Francesco
2001-01-01

Abstract

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 fromSard’s for a wide class of linear functionals that includes the truncation error for cubature formulas.
2001
Bernoulli polynomial, Taylor expansion, Sard kernels
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/125381
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