• Title/Summary/Keyword: Lupas-Bezier operators

Search Result 1, Processing Time 0.02 seconds

Rate of Convergence of the Integral Type Lupas-Bézier Operators

  • ZENG, XIAO-MING;TAO, WANG
    • Kyungpook Mathematical Journal
    • /
    • v.43 no.4
    • /
    • pp.593-604
    • /
    • 2003
  • 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.

  • PDF