Taylorian points of an algebraic curve and bivariate Hermite interpolation

Len Bos; Jean-Paul Calvi

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (2008)

  • Volume: 7, Issue: 3, page 545-577
  • ISSN: 0391-173X

Abstract

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We introduce and study the notion of Taylorian points of algebraic curves in ℂ 2 , which enables us to define intrinsic Taylor interpolation polynomials on curves. These polynomials in turn lead to the construction of a well-behaved Hermitian scheme on curves, of which we give several examples. We show that such Hermitian schemes can be collected to obtain Hermitian bivariate polynomial interpolation schemes.

How to cite

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Bos, Len, and Calvi, Jean-Paul. "Taylorian points of an algebraic curve and bivariate Hermite interpolation." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 7.3 (2008): 545-577. <http://eudml.org/doc/272253>.

@article{Bos2008,
abstract = {We introduce and study the notion of Taylorian points of algebraic curves in $\mathbb \{C\}^2$, which enables us to define intrinsic Taylor interpolation polynomials on curves. These polynomials in turn lead to the construction of a well-behaved Hermitian scheme on curves, of which we give several examples. We show that such Hermitian schemes can be collected to obtain Hermitian bivariate polynomial interpolation schemes.},
author = {Bos, Len, Calvi, Jean-Paul},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {Tailorian points; algebraic curve; bivariate Hermite interpolation},
language = {eng},
number = {3},
pages = {545-577},
publisher = {Scuola Normale Superiore, Pisa},
title = {Taylorian points of an algebraic curve and bivariate Hermite interpolation},
url = {http://eudml.org/doc/272253},
volume = {7},
year = {2008},
}

TY - JOUR
AU - Bos, Len
AU - Calvi, Jean-Paul
TI - Taylorian points of an algebraic curve and bivariate Hermite interpolation
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 2008
PB - Scuola Normale Superiore, Pisa
VL - 7
IS - 3
SP - 545
EP - 577
AB - We introduce and study the notion of Taylorian points of algebraic curves in $\mathbb {C}^2$, which enables us to define intrinsic Taylor interpolation polynomials on curves. These polynomials in turn lead to the construction of a well-behaved Hermitian scheme on curves, of which we give several examples. We show that such Hermitian schemes can be collected to obtain Hermitian bivariate polynomial interpolation schemes.
LA - eng
KW - Tailorian points; algebraic curve; bivariate Hermite interpolation
UR - http://eudml.org/doc/272253
ER -

References

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