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Asymptotic formulas for multivariate Bernstein-Schoenberg operators

✍ Scribed by T. N. T. Goodman


Publisher
Springer
Year
1995
Tongue
English
Weight
563 KB
Volume
11
Category
Article
ISSN
0176-4276

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πŸ“œ SIMILAR VOLUMES


Asymptotic Formulas for Convolution Oper
✍ S.L. Lee; R. Osman πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 532 KB

We derive asymptotic formulas for convolution operators with spline kernels for differentiable functions. These formulas are analogous to Bernstein's extension of Voronovskaya's results on Bernstein polynomials for functions with higher order derivatives. Two classes of operators are considered, viz