Rate of Convergence of the Integral Type Lupas-Bézier Operators

  • ZENG, XIAO-MING (Department of Mathematics, Xiamen University) ;
  • TAO, WANG (Department of Mathematics, Xiamen University)
  • 투고 : 2002.09.04
  • 발행 : 2003.11.23

초록

In this paper we introduce the integral type Lupas-$B{\acute{e}}zier$ operator $\tilde{B}_{n,{\alpha}}$, which is a new approximation operator of probabilistic type. We study the rate of pointwise convergence of the operators $\tilde{B}_{n,{\alpha}}$ for local bounded functions and get an asymptotically estimate by means of some methods and techniques of probability theory.

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