On Some Generalizations of B-Splines
Metric Geometry
2019-02-18 v1 Numerical Analysis
Abstract
In this article, we consider some generalizations of polynomial and exponential B-splines. Firstly, the extension from integral to complex orders is reviewed and presented. The second generalization involves the construction of uncountable families of self-referential or fractal functions from polynomial and exponential B-splines of integral and complex orders. As the support of the latter B-splines is the set , the known fractal interpolation techniques are extended in order to include this setting.
Keywords
Cite
@article{arxiv.1902.05800,
title = {On Some Generalizations of B-Splines},
author = {Peter Massopust},
journal= {arXiv preprint arXiv:1902.05800},
year = {2019}
}