Umbral interpolation | Zendy

Francesco Aldo Costabile | Zendy; Elisabetta Longo | Zendy

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Umbral interpolation

Author(s) -

Francesco Aldo Costabile,

Elisabetta Longo

Publication year - 2016

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim1613165c

Subject(s) - interpolation (computer graphics) , mathematics , linear interpolation , bilinear interpolation , truncation error , truncation (statistics) , inverse quadratic interpolation , trigonometric interpolation , birkhoff interpolation , nearest neighbor interpolation , algebra over a field , calculus (dental) , spline interpolation , algorithm , computer science , mathematical analysis , pure mathematics , artificial intelligence , polynomial , statistics , motion (physics) , medicine , dentistry

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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