Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (6): 1424-1434.

• Articles • Previous Articles     Next Articles

On the Approximation for Bernstein-Durrmeyer-Bézier Operators in Lp Spaces

 GUO Shun-Sheng1, LIU Guo-Fen1**, SONG Zhan-Jie2   

  1. 1.College of Mathematics and Information Science, |Hebei Normal University, Shijiazhuang 050016;
    2.School of Science, Tianjin University, Tianjin 300072
  • Received:2008-03-07 Revised:2009-08-15 Online:2010-12-25 Published:2010-12-25
  • Supported by:

    国家自然科学基金(10571040)、河北省自然科学基金(A2004000137)和 河北师范大学博士基金(L2006B04)资助

Abstract:

In this paper, the direct and inverse approximation theorems and equivalent theorem for Bernstein-Durrmeyer-B\'ezier Operators with first order Ditzian-Totik moduli of smoothness are given

Key words: Bézier-type operator, Direct and inverse approximation theorem, K-functional, Modules of smoothness

CLC Number: 

  • 41A25
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