On bivariate Hermite interpolation and the limit of certain bivariate Lagrange projectors

Phung Van Manh

Annales Polonici Mathematici (2015)

  • Volume: 115, Issue: 1, page 1-21
  • ISSN: 0066-2216

Abstract

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We give a new poised bivariate Hermite scheme and a formula for the interpolation polynomial. We show that the Hermite interpolation polynomial is the limit of bivariate Lagrange interpolation polynomials at Bos configurations on circles.

How to cite

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Phung Van Manh. "On bivariate Hermite interpolation and the limit of certain bivariate Lagrange projectors." Annales Polonici Mathematici 115.1 (2015): 1-21. <http://eudml.org/doc/280944>.

@article{PhungVanManh2015,
abstract = {We give a new poised bivariate Hermite scheme and a formula for the interpolation polynomial. We show that the Hermite interpolation polynomial is the limit of bivariate Lagrange interpolation polynomials at Bos configurations on circles.},
author = {Phung Van Manh},
journal = {Annales Polonici Mathematici},
keywords = {Lagrange interpolation; Hermite interpolation; Bos configuration},
language = {eng},
number = {1},
pages = {1-21},
title = {On bivariate Hermite interpolation and the limit of certain bivariate Lagrange projectors},
url = {http://eudml.org/doc/280944},
volume = {115},
year = {2015},
}

TY - JOUR
AU - Phung Van Manh
TI - On bivariate Hermite interpolation and the limit of certain bivariate Lagrange projectors
JO - Annales Polonici Mathematici
PY - 2015
VL - 115
IS - 1
SP - 1
EP - 21
AB - We give a new poised bivariate Hermite scheme and a formula for the interpolation polynomial. We show that the Hermite interpolation polynomial is the limit of bivariate Lagrange interpolation polynomials at Bos configurations on circles.
LA - eng
KW - Lagrange interpolation; Hermite interpolation; Bos configuration
UR - http://eudml.org/doc/280944
ER -

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