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Norm of the Bernstein left quasi-interpolant operator

By Wu Zhengchang


AbstractA Bernstein quasi-interpolant operator Bn(k) has been introduced by Sablonniere (in “Multivariate Approximation Theory, Vol. IV” (C. K. Chui, W. Schempp, and K. Zeller, Eds.), Birkhauser, Basel, 1989). In this paper we show that for fixed k the norm ∥Bn(k)∥∞ is uniformly bounded in n. This answers a conjecture of Sablonniere

Publisher: Published by Elsevier Inc.
Year: 1991
DOI identifier: 10.1016/0021-9045(91)90053-D
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