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

作　　者：陈文忠[1] 

机构地区：[1]厦门大学数学系

出　　处：《厦门大学学报（自然科学版）》1990年第4期361-366,共6页Journal of Xiamen University：Natural Science

基　　金：福建省自然科学基金

摘　　要：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

关 键 词：算子 逼近等价定理 K-泛函 

分 类 号：O174.41[理学—数学]