A Note on Divided Differences
Publications de l'Institut Mathématique, _N_S_98 (2015) no. 112, p. 147
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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 },
year = {2015},
volume = {_N_S_98},
number = {112},
doi = {10.2298/PIM1512147G},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM1512147G/}
}
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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