Hermite-type interpolation in terms of exponential polynomials
Classical Analysis and ODEs
2024-12-12 v1
Abstract
Motivated by classical results of approximation theory, we define an Hermite-type interpolation in terms of -dimensional subspaces of the space of times continuously differentiable functions. In the main result of this paper, we establish an error term in integral form for this interpolation in the case when the -dimensional subspace is the kernel of an th order linear differential operator with constant coefficients. Several corollaries are deduced illustrating the applicability of this result.
Cite
@article{arxiv.2412.07925,
title = {Hermite-type interpolation in terms of exponential polynomials},
author = {Ali Hasan Ali and Zsolt Páles},
journal= {arXiv preprint arXiv:2412.07925},
year = {2024}
}