Complete asymptotic expansion for multivariate Bernstein–Durrmeyer operators and quasi-interpolants
نویسندگان
چکیده
منابع مشابه
Asymptotic expansions for Favard operators and their left quasi-interpolants
In 1944 Favard [5, pp. 229, 239] introduced a discretely defined operator which is a discrete analogue of the familiar GaussWeierstrass singular convolution integral. In the present paper we consider a slight generalization Fn,σn of the Favard operator and its Durrmeyer variant F̃n,σn and study the local rate of convergence when applied to locally smooth functions. The main result consists of th...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 2010
ISSN: 0021-9045
DOI: 10.1016/j.jat.2009.04.004