|本期目录/Table of Contents|

[1]周小华,辛晓东.一类多元Szasz\|Mirakjan算子线性组合的一致逼近[J].浙江理工大学学报,2011,28(05):819-824.
 ZHOU Xiao hua,XIN Xiao dong. Uniform Approximation by Class of Combinations of Multidimensional SzaszMirakjan Operators[J].Journal of Zhejiang Sci-Tech University,2011,28(05):819-824.
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一类多元Szasz\|Mirakjan算子线性组合的一致逼近()
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浙江理工大学学报[ISSN:1673-3851/CN:33-1338/TS]

卷:
第28卷
期数:
2011年05期
页码:
819-824
栏目:
生物与生命科学
出版日期:
2011-10-30

文章信息/Info

Title:
 Uniform Approximation by Class of Combinations of Multidimensional SzaszMirakjan Operators
文章编号:
16733851 (2011) 05081906
作者:
 周小华 辛晓东
 兴文理学院上虞分院数学系, 浙江上虞 312300
Author(s):
 ZHOU Xiaohua XIN Xiaodong
 Department of Mathematics, Shangyu College, Shaoxing University, Shangyu 312300, China
关键词:
 多元Szasz\|Mirakjan算子线性组合一致逼近特征刻划
分类号:
O174.41
文献标志码:
A
摘要:
    运用K\|泛函方法,主要研究一类多元Szasz\|mirakjan算子线性组合的逼近问题,建立一致逼近下的正、逆定理,并给出逼近阶的估计和特征刻划。从而将一元Szasz\|Mirakjan算子及其线性组合的相关结果推广到多元情形。

参考文献/References:

 [1] 熊静宜, 杨汝月. Szasz型算子线性组合的点态逼近[J]. 海南大学学报: 自然科学版, 2000, 18(4): 330337.
[2] Zhou D X, Xuan P C, Zhang Z Q. Uniform approximation by multidimensional szaszmirakjan operators[J]. Mathematicsal Reseach and Exposition, 1992, 12(2): 187192.
[3] 赵德均, 宋儒英. 一类多元GaussWeierstrass算子线性组合的逼近[J]. 数学研究与评论, 2002, 22(3):481486.
[4] Ditzian Z, Totik. Moduli of Smoothness. Springei Series in Computational Mathmatics[M]. New York: SpringerVerleg, 1987.
[5] 谢林森. SzaszMirakjan算子线性组合和导数的点态逼近定理[J]. 数学研究与评论, 2003, 23(4): 709714.
[6] 宣培才. 关于SzaszMirakjan型算子的加权逼近[J]. 计算数学, 1995(4): 427442.
[7] 周小华. 一类多元PostWidder算子线性组合的一致逼近[J]. 绍兴文理学院学报: 自然科学版, 2008, 28(7): 59.

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备注/Memo

备注/Memo:
 收稿日期: 2010-11-18
作者简介: 周小华(1965-),男,浙江诸暨人,大学本科,高级讲师,主要从事算子逼近的研究。
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