On the L ∞ - norm of the L 2 - spline projector Budapest , July 2 , 2013
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چکیده
منابع مشابه
00 6 A counterexample concerning the L 2 - projector onto linear spline spaces
For the L2-orthogonal projection PV onto spaces of linear splines over simplicial partitions in polyhedral domains in IR, d > 1, we show that in contrast to the one-dimensional case, where ‖PV ‖L∞→L∞ ≤ 3 independently of the nature of the partition, in higher dimensions the L∞-norm of PV cannot be bounded uniformly with respect to the partition. This fact is folklore among specialists in finite...
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