A Note on Divided Differences
Publications de l'Institut Mathématique, _N_S_98 (2015) no. 112, p. 147
Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
We obtain a new recurrence formula for sequences of divided differences. In a particular case, the recurrence formula simplifies to the classical Newton--Girard identities relating power sums and elementary symmetric polynomials.
Classification :
65Q30, 41A05
Keywords: divided differences, Lagrange interpolation, Newton--Girard formulae
Keywords: divided differences, Lagrange interpolation, Newton--Girard formulae
@article{10_2298_PIM1512147G,
author = {Ioan Gavrea and Mircea Ivan},
title = {A {Note} on {Divided} {Differences}},
journal = {Publications de l'Institut Math\'ematique},
pages = {147 },
publisher = {mathdoc},
volume = {_N_S_98},
number = {112},
year = {2015},
doi = {10.2298/PIM1512147G},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM1512147G/}
}
TY - JOUR AU - Ioan Gavrea AU - Mircea Ivan TI - A Note on Divided Differences JO - Publications de l'Institut Mathématique PY - 2015 SP - 147 VL - _N_S_98 IS - 112 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.2298/PIM1512147G/ DO - 10.2298/PIM1512147G LA - en ID - 10_2298_PIM1512147G ER -
Ioan Gavrea; Mircea Ivan. A Note on Divided Differences. Publications de l'Institut Mathématique, _N_S_98 (2015) no. 112, p. 147 . doi: 10.2298/PIM1512147G
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