Discrete GB-Splines and Their Properties
نویسنده
چکیده
Discrete generalized splines are continuous piecewise defined functions which meet some smoothness conditions for the first and second divided differences at the knots. Direct algorithms and recurrence relations are proposed for constructing discrete generalized B-splines (discrete GB-splines for short). Properties of discrete GB-splines and their series are studied. It is shown that discrete GBsplines form weak Chebyshev systems and that series of discrete GBsplines have a variation diminishing property. §
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