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A Bernstein-Schoenberg Type Operator: Shape Preserving and Limiting Behaviour

Published online by Cambridge University Press:  20 November 2018

T. N. T. Goodman  and
A. Sharma
T. N. T. Goodman
Affiliation:
Department of Mathematics and Computer Science, The University, DundeeDD1 4HN, Scotland
A. Sharma
Affiliation:
Department of Mathematics, University of Alberta, Edmonton, Alberta, T6G 2G1
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Abstract

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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.

Keywords

41A1541A36
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 47 , Issue 5 , 01 October 1995 , pp. 959 - 973
Copyright
Copyright © Canadian Mathematical Society 1995

References

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