Norm of the Bernstein left quasi-interpolant operator

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Publication date
1991
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Published by Elsevier Inc.
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    Abstract

    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

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