Discrete approximation by first-degree splines with free knots
Numerical Analysis
2017-04-20 v1
Abstract
This paper deals with the approximation of discrete real-valued functions by first-degree splines (broken lines) with free knots for arbitrary -norms (. We prove the existence of best approximations und derive statements on the position of the (free) knots of a best approximation. Building on this, elsewhere we develop an algorithm to determine a (global) best approximation in the -norm.
Cite
@article{arxiv.1704.05668,
title = {Discrete approximation by first-degree splines with free knots},
author = {Ludwig J. Cromme and Jens Kunath},
journal= {arXiv preprint arXiv:1704.05668},
year = {2017}
}