EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 98(112), pp. 147–151 (2015)

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A note on divided differences

Ioan Gavrea, Mircea Ivan

Department of Mathematics, Technical University of Cluj-Napoca, Cluj-Napoca, Romania

Abstract: 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.

Keywords: divided differences; Lagrange interpolation; Newton–Girard formulae

Classification (MSC2000): 65Q30; 41A05

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Electronic fulltext finalized on: 18 Nov 2015. This page was last modified: 6 Jan 2016.

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