Norm of the Bernstein left quasi-interpolant operator
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.
DOI identifier: 10.1016/0021-9045(91)90053-D
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