Article ID Journal Published Year Pages File Type
4607134 Journal of Approximation Theory 2014 13 Pages PDF
Abstract

The existence of a bound for the L∞L∞-norm of the orthogonal projector onto splines, depending on the degree of splines, but independent of the mesh, was a long-standing conjecture by Carl de Boor. Finally, A. Yu. Shadrin solved it in 2001, but his proof is rather long and complicated. It is the purpose of this paper to present an alternative–short and simple–proof.

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Physical Sciences and Engineering Mathematics Analysis
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