L∞-boundedness of L2-projections on splines for a geometric mesh |
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| Authors: | K Hllig |
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| Institution: | 1. Mathematics Research Center, University of Wisconsin, 610 Walnut Street, Madison, Wisconsin 53706 USA;2. Mathematisches Seminar der Landwirtschaftlichen Fakultät, Universität Bonn, Nussallee 15, 53 Bonn, Federal Republic of Germany |
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| Abstract: | In this paper we complete the investigations started by 14.]. We study C. de Boor's conjecture of the L∞-boundedness of the L2-projection P on smooth splines in the special case of a geometric mesh x = {qv}. A connection to the interpolation projection is established and the uniform boundedness of ¦|P¦|π with respect to q is proved. |
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