|本期目录/Table of Contents|

[1]夏星星. 一个重要三角不等式的推广[J].浙江理工大学学报,2013,30(01):106-108.
 XIA Xing xing. A Generalization of an Important Trigonometric Inequality[J].Journal of Zhejiang Sci-Tech University,2013,30(01):106-108.
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 一个重要三角不等式的推广()
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浙江理工大学学报[ISSN:1673-3851/CN:33-1338/TS]

卷:
第30卷
期数:
2013年01期
页码:
106-108
栏目:
出版日期:
2013-01-20

文章信息/Info

Title:
 A Generalization of an Important Trigonometric Inequality
文章编号:
16733851 (2013) 01010603
作者:
 夏星星
 浙江理工大学理学院, 杭州 310018
Author(s):
 XIA Xingxing
 Department of Mathematics, Zhejiang SciTech University, Hangzhou 310018, China
关键词:
 三角不等式 有界变差 推广
分类号:
O174.21
文献标志码:
A
摘要:
    研究了一个重要三角不等式成立所需条件不断减弱的问题,人们已经将条件中的数列推广到了均值有界变差数列(MVBVS)。现在通过利用Abel变换和适当放缩等方法,将其进一步推广,得到了在上确界有界变差(SBVS2)条件下的三角不等式。

参考文献/References:

 [1]谢庭藩, 周颂平. 实函数逼近论[M]. 杭州: 杭州大学出版社, 1998: 8182.
[2] Wang M Z, Zhao Y. Generalizations of some classical results under MVBV coditoin[J]. Math Ineq Appl, 2009, 12: 433440.
[3] 周颂平. 三角级数研究中的单调性条件: 发展和应用[M]. 北京: 科学出版社, 2012.

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备注/Memo

备注/Memo:
 收稿日期: 2012-04-19
作者简介: 夏星星(1989-),女,安徽巢湖人,硕士研究生,主要从事函数逼近论的研究。
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