On Marcinkiewicz-Zygmund type inequality with derivatives(具有导数的Marcinkiewicz-Zygmund型不等式)

采用高阶Hermite插值的方法,证明了Marcinkiewicz-Zygmund型不等式作为这类不等式的重要应用,用它估计了Grünwald插值算子对连续函数的L1逼近的精确阶.

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Published inZhejiang da xue xue bao. Journal of Zhejiang University. Sciences edition. Li xue ban Vol. 30; no. 4; pp. 365 - 367
Main Authors CHENZhi-xiang(陈志祥), ZHOUSong-ping(周颂平)
Format Journal Article
LanguageChinese
Published Zhejiang University Press 01.07.2003
Subjects
chebyshev多项式
marcinkiewicz-zygmumd型不等式
插值多项式
Online AccessGet full text
ISSN1008-9497

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Abstract 采用高阶Hermite插值的方法,证明了Marcinkiewicz-Zygmund型不等式作为这类不等式的重要应用,用它估计了Grünwald插值算子对连续函数的L1逼近的精确阶.
AbstractList 采用高阶Hermite插值的方法,证明了Marcinkiewicz-Zygmund型不等式作为这类不等式的重要应用,用它估计了Grünwald插值算子对连续函数的L1逼近的精确阶.
Author ZHOUSong-ping(周颂平)
CHENZhi-xiang(陈志祥)
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  organization: 1.Department of Mathematics, Zhejiang University, Hangzhou 310028, China( 1.浙江大学数学系，浙江 杭州 310028)
– sequence: 2
  fullname: ZHOUSong-ping(周颂平)
  organization: 2.The Mathematical Institute, Ningbo University, Ningbo 315211, China( 2.宁波大学数学研究所，浙江 宁波 315211)
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Snippet 采用高阶Hermite插值的方法,证明了Marcinkiewicz-Zygmund型不等式作为这类不等式的重要应用,用它估计了Grünwald插值算子对连续函数的L1逼近的精确阶.
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StartPage 365
SubjectTerms chebyshev多项式
marcinkiewicz-zygmumd型不等式
插值多项式
Title On Marcinkiewicz-Zygmund type inequality with derivatives(具有导数的Marcinkiewicz-Zygmund型不等式)
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