论文信息 - Δh-Appell sequences and related interpolation problem

Δh-Appell sequences and related interpolation problem

A determinantal form for Δh-Appell sequences is proposed and general properties are obtained by using elementary linear algebra tools. As particular cases of Δh-Appell sequences the sequence of Bernoulli polynomials of second kind and the one of Boole polynomials are considered. A general linear interpolation problem, which generalizes the classical interpolation problem on equidistant points, is proposed. The solution of this problem is expressed by a basis of Δh-Appell polynomials. Numerical examples which justify theoretical results on the interpolation problem are given.

Francesco A. Costabile | E. Longo

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