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.
Main Authors: | , |
---|---|
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 |
_version_ | 1827303563619991552 |
---|---|
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. |
first_indexed | 2024-04-24T17:03:06Z |
format | Article |
id | doaj.art-a527d0afc84a44959994bfac4796b849 |
institution | Directory Open Access Journal |
issn | 1008-9497 |
language | zho |
last_indexed | 2024-04-24T17:03:06Z |
publishDate | 2003-07-01 |
publisher | Zhejiang University Press |
record_format | Article |
series | Zhejiang Daxue xuebao. Lixue ban |
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 |
work_keys_str_mv | AT chenzhixiangchénzhìxiáng onmarcinkiewiczzygmundtypeinequalitywithderivativesjùyǒudǎoshùdemarcinkiewiczzygmundxíngbùděngshì AT zhousongpingzhōusòngpíng onmarcinkiewiczzygmundtypeinequalitywithderivativesjùyǒudǎoshùdemarcinkiewiczzygmundxíngbùděngshì |