|本期目录/Table of Contents|

[1]程文韬. 修正有理算子的逼近定理[J].浙江理工大学学报,2012,29(05):714-721.
　CHENG Wen tao. Approximation Theorem on Modified Rational Operators[J].Journal of Zhejiang Sci-Tech University,2012,29(05):714-721.
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 修正有理算子的逼近定理()
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浙江理工大学学报[ISSN:1673-3851/CN:33-1338/TS]

卷:
第29卷
期数:
2012年05期
页码:
714-721
栏目:
出版日期:
2012-10-28

文章信息/Info

Title:
 Approximation Theorem on Modified Rational Operators
文章编号:
16733851 (2012) 05071408
作者:
 程文韬
 浙江理工大学理学院, 杭州 310018
Author(s):
 CHENG Wentao
 School of Sciences, Zhejiang SciTech University, Hangzhou 310018, China
关键词:
 ; Lp［a; b］空间;  有理插值算子;  Jackson型估计
分类号:
O174
文献标志码:
A
摘要:
    介绍有理插值算子以及修正有理插值算子的一般形式，根据核函数的性质，提出两种控制型修正有理插值算子，并且分别给出它们的Jackson型估计

参考文献/References:

 ［1］ Stein E M. Singular Integrals and Differentiablity of Functions［M］. Princeton: Princeton Univ. Press, 1970.
［2］ Devore R A. Degree of Approxiamtion, in: Approximation Theory Ⅱ［M］. New York: Academic Press, 1976: 117162.
［3］ Xiao W, Zhou S P. On Müntz rational apporoximation［J］. J Approx theory,2001,111: 5058.
［4］ Xiao W, Zhou S P. A Jackson type estimates for Shepard operator in Lp spaces for p≥1［J］. Acta Math Hungar,2002,95(3): 217224.
［5］ 孙燮华. 关于连续函数用有理算子的逼近［J］. 数学学报，1986，29（2）： 195206.
［6］ 梅雪峰， 虞旦盛， 周颂平. Lp空间Kantorovich\|Vertesi算子逼近的Jackson型估计［J］. 高校应用数学学报： A辑，2002，17（3）： 329334.

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备注/Memo

备注/Memo:
 收稿日期： 2011-09-07
作者简介： 程文韬(1985-)，男，安徽安庆人，硕士研究生，主要从事函数逼近论的研究。
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