Meyer-Knig and Zeller算子的强Voronovskaja型渐近展开

The Strong Voronovskaja-Type Asymptotic Expansion of Meyer-Knig and Zeller Operator

M eyer-Knig and Zeller算子是著名Bernste in算子的一种推广形式,是算子逼近理论的主要研究对象之一。主要讨论了该算子逼近的渐近表示问题,得到了该算子的强Voronovskaja型渐近表示公式。

Meyer - Koenig and Zeller operator, which is one of the extension forms of the famous Bernstein operator, has been one of the major objects of operator approximation theory, This article discusses the gradual extension of the operator approximation,and concludes with a formula of the operator＇s Voronovskaja model gradual extension.