A perturbed collage theorem and its application to inverse interval integral problems
Numerical Analysis
2020-07-15 v1 Numerical Analysis
Functional Analysis
Abstract
This paper deals with inverse problems subject to imprecise or vague information of some involved data by means of interval-valued functions. To provide interval solutions to the inverse problems we have adopted a perturbed collage-based approach and we have also introduced a numerical procedure by means of the use of interval bases in a sense. To illustrate the results, and as an application, we have studied the Volterra interval-valued integral equation, and provide some computational examples.
Cite
@article{arxiv.2002.01418,
title = {A perturbed collage theorem and its application to inverse interval integral problems},
author = {M. Arana-Jimenez and M. I. Berenguer and D. Gamez and A. I Garralda-Guillem and M. Ruiz Galan},
journal= {arXiv preprint arXiv:2002.01418},
year = {2020}
}
Comments
16 pages