On the convergence of derivatives of Bernstein approximation

Authors:
Michael S. Floater
Affiliations:
Centre of Mathematics for Applications, Department of Informatics, University of Oslo, Postbox 1053, Blindern, 0316 Oslo, Norway
Venue:
Journal of Approximation Theory
Year:
2005

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Abstract

By differentiating a remainder formula of Stancu, we derive both an error bound and an asymptotic formula for the derivatives of Bernstein approximation.