M－Z不等式的推广及其应用

The Extentions and Applications of Marcinkiewicz-Zygmund Inequality

本文综述了近年来Ｍａｒｃｉｋｉｅｗｉｃｙ－Ｚｙｇｍｕｎｄ不等式的研究状况，并介绍了它们在插值多项式逼近理论中的应用．特别地，文中着重阐述了沈燮昌教授在该领域中的突出贡献．

This paper summaries the research situation of the Mareikiewicz- Zygmund Inequality and introduces their application in approximation theory of polynomial interpolation. Esppecially.this paper explains Professor Shen Xie-chang' s great comtribution in this field.