Meyer-Knig和Zeller型算子的逼近等价定理

The Equivalent Approximation Theorem for Meyer-Knig and Zeller Type Operators

文中应用K-泛函理论,建立了Meyer-Konig 和Zeller 型算子在C[0,1]空间中的逼近等价定理。

and it is called Meyer- K(o|¨)nig and Zeller type operators. In this paper. The equivalent approximation theorem for operator (M|-) n are obtained: Theorem6. Let l∈C[(0,l] and 0<a≤2. Then the following are equivalent;a1) For n≥2 and x∈[0,1] satisfies [(M|-) n(∫,x) -∫(x)] ≤A[(?)(x)/n + 2](2|x)2) ∫∈ Lip a. where A>0 is constant and (?)(x) = x(1-x)2