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http://dx.doi.org/10.5831/HMJ.2011.33.3.431

A NOTE ON THE GENERALIZED BERNSTEIN POLYNOMIALS  

Bayad, A. (Department de Mathematiques, Universite d'Evry Val d'Essonne)
Kim, T. (Division of General Education, Kwangwoon University)
Lee, S.H. (Division of General Education, Kwangwoon University)
Dolgy, D.V. (Institute of Mathematics and Computer Sciences, Far Eastern National University)
Publication Information
Honam Mathematical Journal / v.33, no.3, 2011 , pp. 431-439 More about this Journal
Abstract
We prove two identities for multivariate Bernstein polynomials on simplex, which are considered on a pointwise. In this paper, we study good approximations of Bernstein polynomials for every continuous functions on simplex and the higher dimensional q-analogues of Bernstein polynomials on simplex.
Keywords
Simplex; Bernstein polynomials;
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