Explicit formulae and recurrence relations are obtained for discrete generalized B-splines (discrete GB-splines for short). Properties of discrete GB-splines and their series are studied. It is shown that the series of discrete GB-splines is a variation diminishing function and the systems of discrete GB-splines are weak Chebyshev systems.
@article{626,
title = {On discrete GB-splines},
journal = {ANZIAM Journal},
volume = {42},
year = {2000},
doi = {10.21914/anziamj.v42i0.626},
language = {EN},
url = {http://dml.mathdoc.fr/item/626}
}
Kvasov, Boris I. On discrete GB-splines. ANZIAM Journal, Tome 42 (2000) . doi : 10.21914/anziamj.v42i0.626. http://gdmltest.u-ga.fr/item/626/