On Some Generalizations of BSplines
Abstract
In this article, we consider some generalizations of polynomial and exponential Bsplines. Firstly, the extension from integral to complex orders is reviewed and presented. The second generalization involves the construction of uncountable families of selfreferential or fractal functions from polynomial and exponential Bsplines of integral and complex orders. As the support of the latter Bsplines is the set $[0,\infty)$, the known fractal interpolation techniques are extended in order to include this setting.
 Publication:

arXiv eprints
 Pub Date:
 February 2019
 arXiv:
 arXiv:1902.05800
 Bibcode:
 2019arXiv190205800M
 Keywords:

 Mathematics  Metric Geometry;
 Mathematics  Numerical Analysis