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.

Bibliographic Details
Main Authors: CHENZhi-xiang(陈志祥), ZHOUSong-ping(周颂平)
Format: Article
Language:zho
Published: Zhejiang University Press 2003-07-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
Online Access:https://doi.org/zjup/1008-9497.2003.30.4.365-367
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author CHENZhi-xiang(陈志祥)
ZHOUSong-ping(周颂平)
author_facet CHENZhi-xiang(陈志祥)
ZHOUSong-ping(周颂平)
author_sort CHENZhi-xiang(陈志祥)
collection DOAJ
description 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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spelling doaj.art-a527d0afc84a44959994bfac4796b8492024-03-29T01:58:20ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972003-07-01304365367zjup/1008-9497.2003.30.4.365-367On Marcinkiewicz-Zygmund type inequality with derivatives(具有导数的Marcinkiewicz-Zygmund型不等式)CHENZhi-xiang(陈志祥)0ZHOUSong-ping(周颂平)1 1.Department of Mathematics, Zhejiang University, Hangzhou 310028, China( 1.浙江大学数学系,浙江 杭州 310028) 2.The Mathematical Institute, Ningbo University, Ningbo 315211, China( 2.宁波大学数学研究所,浙江 宁波 315211)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.https://doi.org/zjup/1008-9497.2003.30.4.365-367marcinkiewicz-zygmumd型不等式chebyshev多项式插值多项式
spellingShingle CHENZhi-xiang(陈志祥)
ZHOUSong-ping(周颂平)
On Marcinkiewicz-Zygmund type inequality with derivatives(具有导数的Marcinkiewicz-Zygmund型不等式)
Zhejiang Daxue xuebao. Lixue ban
marcinkiewicz-zygmumd型不等式
chebyshev多项式
插值多项式
title On Marcinkiewicz-Zygmund type inequality with derivatives(具有导数的Marcinkiewicz-Zygmund型不等式)
title_full On Marcinkiewicz-Zygmund type inequality with derivatives(具有导数的Marcinkiewicz-Zygmund型不等式)
title_fullStr On Marcinkiewicz-Zygmund type inequality with derivatives(具有导数的Marcinkiewicz-Zygmund型不等式)
title_full_unstemmed On Marcinkiewicz-Zygmund type inequality with derivatives(具有导数的Marcinkiewicz-Zygmund型不等式)
title_short On Marcinkiewicz-Zygmund type inequality with derivatives(具有导数的Marcinkiewicz-Zygmund型不等式)
title_sort on marcinkiewicz zygmund type inequality with derivatives 具有导数的marcinkiewicz zygmund型不等式
topic marcinkiewicz-zygmumd型不等式
chebyshev多项式
插值多项式
url https://doi.org/zjup/1008-9497.2003.30.4.365-367
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