This paper deals with the description and the representation of polynomials defined, over n-simplices. The polynomials are computed by using two recurrent schemes, the Neville-Aitken one for the Lagrange interpolating operator and the De Casteljau one for the Bernstein-Bézier approximating operator. The concepts of reference functionals and characteristic spaces will be used and we shall prove the existence of a characteristic space for the reference functionals associated with these operators.
Reference Functional and Characteristic Space for Lagrange and Bernstein Operators
DE MARCHI, STEFANO;
1995
Abstract
This paper deals with the description and the representation of polynomials defined, over n-simplices. The polynomials are computed by using two recurrent schemes, the Neville-Aitken one for the Lagrange interpolating operator and the De Casteljau one for the Bernstein-Bézier approximating operator. The concepts of reference functionals and characteristic spaces will be used and we shall prove the existence of a characteristic space for the reference functionals associated with these operators.File in questo prodotto:
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