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On positivity properties of fundamental cardinal polysplines

Authors: Render H.;

On positivity properties of fundamental cardinal polysplines

Abstract

Polysplines on strips of order p are natural generalizations of univariate splines. In [3] and [4] interpolation results for cardinal polysplines on strips have been proven. In this paper the following problems will be addressed: (I) positivity of the fundamental polyspline on the strip [-1, 1] × Rn, and (II) uniqueness of interpolation for polynomially bounded cardinal polysplines. AMS Mathematics Subject Classi.cation (2000): 41A82.

Country
Serbia
Related Organizations
Keywords

L-splines, fundamental spline, polyharmonic functions, polysplines, Cardinal splines

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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