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

BIT Numerical Mathematics

Volumn 41, Issue 3, 2001, Pages 451-464

  Costabile, F A ^a   Dell'Accio, F ^a  

^a UNIVERSITY OF CALABRIA   (Italy)

Author keywords

Bernoulli polynomial; Sard kernels; Taylor expansion

Indexed keywords

EID: 0042641659     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021958910686     Document Type: Article

References (9)

1. F. Costabile, Expansions of real functions in Bernoulli polynomials and applications, Conf. Sem., University Bari, N. 273, 1999.
2. F. Costabile and F. Dell'Accio, Expansion over a simplex of real functions by means of Bernoulli polynomials and applications, submitted.
3. F. Costabile, M. I. Gualtieri, and S. Serra, An iterative method for the computation of the solutions of nonlinear equations, Calcolo, 36 (1999), pp. 17-34.
4. P. J. Davis, Interpolation and Approximation, Dover, New York, 1975.
5. H. Engels, Numerical Quadrature and Cubature, Academic Press, London, 1990.
6. C. Jordan, Calculus of Finite Differences, Chelsea, New York, 1965.
7. A. Sard, Linear Approximation, Amer. Math. Soc., Math. Surveys, N9, 1963.
8. D. D. Stancu, The remainder of certain linear approximation formulas in two variables, J. SIAM Numer. Anal., Ser. B, 1 (1964), pp. 137-163.
9. J. F. Steffensen, Interpolation, Chelsea, New York, 1965.