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

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.