Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiquesVol. CXXXIII, No. 31, pp. 101–114 (2006)
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Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiques Vol. CXXXIII, No. 31, pp. 101–114 (2006) |
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On positivity properties of fundamental cardinal polysplinesH. RenderDepartamento de Matematicas y Computacion, Universidad de La Rioja, Edificio Vives, Luis de Ulloa s/n., 26004 Logrono, EspanaAbstract: 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 $\left[ -1,1\right] \times {\Bbb R}^{n}$, and (ii) uniqueness of interpolation for polynomially bounded cardinal polysplines. Keywords: Cardinal splines, L-splines, fundamental spline, polyharmonic functions, polysplines Classification (MSC2000): 41A82 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 10 Jun 2006. This page was last modified: 20 Jun 2011.
© 2006 Mathematical Institute of the Serbian Academy of Science and Arts
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