一类Stancu型算子的逼近性质  

Approximation Properties of a Kind of Stancu Type Operators

作　　者：任美英[1] 

机构地区：[1]武夷学院数学与计算机学院,福建武夷山354300

出　　处：《武夷学院学报》2016年第12期63-65,共3页Journal of Wuyi University

基　　金：国家自然科学基金(61572020);福建省自然科学基金(2014J01021)

摘　　要：通过Bernstein多项式的基函数,引进一类Stancu型算子序列,并借助于连续模研究该算子序列的一些逼近性质,得到算子列的一个Korovkin型收敛定理和收敛速度的一些估计。In this paper, a kind of Stancu type operators is introduced through the base functions of the Bernstein polynomials. By means of the modulus of continuity, some approximate properties of the operators are studied. A convergence theorem of Korovkin type is established. Some estimations for the rate of convergence of the operators are obtained.

关 键 词：Stancu型算子列 K-泛函 光滑模 逼近性质 

分 类 号：O174.5[理学—数学]