Author： Lyche Tom Mazure Marie-Laurence
Publisher： Springer Publishing Company
ISSN： 1019-7168
Source： Advances in Computational Mathematics, Vol.25, Iss.1-3, 2006-07, pp. : 105-133
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Abstract
We give necessary and sufficient conditions for the total positivity of certain connection matrices arising in piecewise exponential spline spaces. These total positivity conditions are sufficient for existence of B-splines in such spaces, but they are far from being necessary. We give a necessary and sufficient condition for existence of B-splines in the case of piecewise exponential spline spaces with only two differential operators, which eventually leads to a necessary condition for any piecewise exponential spline spaces.
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