Geodesic
A Bernstein-Schoenberg Type Operator: Shape Preserving and Limiting Behaviour
Canadian journal of mathematics, Tome 47 (1995) no. 5, pp. 959-973

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CJM-1995-050-8
Mots-clés : 41A15, 41A36 
Goodman, T. N. T.; Sharma, A. A Bernstein-Schoenberg Type Operator: Shape Preserving and Limiting Behaviour. Canadian journal of mathematics, Tome 47 (1995) no. 5, pp. 959-973. doi: 10.4153/CJM-1995-050-8
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