journal6 ›› 2003, Vol. 24 ›› Issue (1): 68-70.

• Mathematics • Previous Articles     Next Articles

Derivatives of Bernstein-Kantorovich Operators and Smoothness

  

  1. (Department of Mathematics,Lishui Teachers’ College,Lishui 323000,Zhejiang China)
  • Online:2003-03-15 Published:2012-11-09

Abstract: Use the r-th classic modulus of smoothness ωr(f,t) to study the relation of the derivatives between Bernstein-Kantorovich operators and the smoothness of the function it approximates,and obtain the equivalent theorem between the derivatives of Bernstein-Kantorovich operators and the r-th classic modulus of smoot
hness ωr(f,t).

Key words: Bernstein-Kantorovich operators, modulus of smoothness, derivatives

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