摘要
本文引进一类以θ_k=2kπ/2n+1(k=0,1,…2n)为插值结点的修正Lagrange三角插值多项式,开且借助于Marcinkiewicz—Zygmund三角不等式及Hardy—Little-wood极大函数讨论了其在L_P^(2π)中的逼近价。其结果可以运用到C.N.PaππoπopT插值算子、Bernstein第一、二求和算子及de La Vallee Poussin等插值算子上去。
This paper gives a kind of modified trigonometrical intorpolatory Polynomials with the e- quiaistant nodes θ_k =2kπ/2n+1(k=0,1,……2n),Discusses the degree of approximation by the iter- polatory in L^2π_p Spaces wifh the help of Marcinkiewicz-Zygmund inequality and Hardy-little- Wood Maximal function.The results here can be applied to C.N.PaππopT interpolatory oper- atoss,ete.
关键词
插值
算子
多项式
逼近
拉格朗日
interpolatory operators
Trigonometrical Polynomials
degree of approximation
