Published May 9, 2016 | Version v1

Umbral interpolation

  • 1. University of Calabria, Department of Mathematics, Rende, Italy

Description

A general linear interpolation problem is posed and solved. This problem is called umbral interpolation problem because its solution can be expressed by a basis of Sheffer polynomials. The truncation error and its bounds are considered. Some examples are discussed, in particular generalizations of Abel-Gontscharoff and central interpolation are studied. Numerical examples are given too.

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