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A Bernstein-Schoenberg Type Operator: Shape Preserving and Limiting Behaviour
Published online by Cambridge University Press: 20 November 2018
Abstract
Using a new B-spline basis due to Dahmen, Micchelli and Seidel, we construct a univariate spline approximation operator of Bernstein-Schoenberg type. We show that it shares all the shape preserving properties of the usual Bernstein-Schoenberg operator and we derive a Voronovskaya type asymptotic error estimate.
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- Copyright © Canadian Mathematical Society 1995
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