Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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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)
  • Received : 2011.08.11
  • Accepted : 2011.08.25
  • Published : 2011.09.25
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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.

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References

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