Leibniz rules for multivariate divided differences

• Autores: Jesús Miguel Carnicer , Tomas Sauer
• Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 181, Nº 1, 2014, págs. 43-53
• Idioma: inglés
• DOI: 10.1016/j.jat.2014.02.002
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• Resumen

  • A Leibniz rule expresses the divided difference of a product of functions in terms of products of divided differences of the functions individually. The paper investigates such a formula for a multivariate divided difference that is based on leading coefficients of an interpolating polynomial.