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Multivariate Stancu operators defined on a simplex.

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Publication:1406132
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DOI10.1016/S0096-3003(02)00088-7zbMath1043.41017MaRDI QIDQ1406132

Jingyi Xiong, Feilong Cao, Ruyue Yang

Publication date: 9 September 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)


zbMATH Keywords

Bernstein operatorsStancu operatorsSimplexClass of Lipschitz function


Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35)


Related Items (1)

L p approximation by general Bernstein-Durrmeyer operator defined on simplex




Cites Work

  • Inverse theorems for multidimensional Bernstein operators
  • The modulus of continuity of the remainder in the approximation of Lipschitz functions
  • Optimal approximation class for multivariate Bernstein operators
  • Lipschitz constants for the Bernstein polynomials of a Lipschitz continuous function
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