The Approximation of Bernstein Type Operators
|School||North China Electric Power University (Hebei)|
|Keywords||Bernstein operators Szász-Mirakjan operator Generalized q-Bernstein operator|
This thesis, Bernstein Type Operators approximation , the text is divided into three chapters . Chapter Introduction Chapter II with the weighted modulus of smoothness the ω φλ < / sub > . 2 < / sup > ( f t) ω , studied Sz ( ? ) the sz- Mirakjan operator weighted pointwise simultaneous approximation results discussed in Chapter generalized q-Bernstein operator convergence rate Let q gt ; 0, α ≥ 0, f ∈ C [ 0,1 ] , n = 1,2, ... , this chapter has been of operator B n sub > q, α sup > ( f, x) the convergence rate and gives a Voronovskaya type theorem .