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Calcolo
Published in: Calcolo 1/2020

01-03-2020

Odd and Even Lidstone-type polynomial sequences. Part 2: applications

Authors: Francesco Aldo Costabile, Maria Italia Gualtieri, Anna Napoli

Published in: Calcolo | Issue 1/2020

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Abstract

In this paper we consider some applications of Odd and Even Lidstone-type polynomial sequences. In particular we deal with the Odd and Even Lidstone-type and the Generalized Lidstone interpolatory problems with respect to a linear functional \(L_1\) and, respectively, \(L_2\). Estimations of the remainder for the related interpolation polynomials are given. Numerical examples are provided. Some possible applications of these interpolant polynomials to BVPs, expansions of analytical real functions and numerical quadrature are sketched.
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Metadata
Title
Odd and Even Lidstone-type polynomial sequences. Part 2: applications
Authors
Francesco Aldo Costabile
Maria Italia Gualtieri
Anna Napoli
Publication date
01-03-2020
Publisher
Springer International Publishing
Published in
Calcolo / Issue 1/2020
Print ISSN: 0008-0624
Electronic ISSN: 1126-5434
DOI
https://doi.org/10.1007/s10092-019-0354-z

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