|本期目录/Table of Contents|

[1]余航,张孝惠.收敛到Euler-Mascheroni常数的改进序列[J].浙江理工大学学报,2025,53-54(自科六):872-882.
　YU Hang,ZHANG Xiaohui.Modified sequences convergent to the Euler-Mascheroni constant[J].Journal of Zhejiang Sci-Tech University,2025,53-54(自科六):872-882.
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收敛到Euler-Mascheroni常数的改进序列()
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浙江理工大学学报[ISSN:1673-3851/CN:33-1338/TS]

卷:
第53-54卷
期数:
2025年自科第六期
页码:
872-882
栏目:
出版日期:
2025-11-10

文章信息/Info

Title:
Modified sequences convergent to the Euler-Mascheroni constant
文章编号:
1673-3851(2025)11-0872-11
作者:
余航; 张孝惠
浙江理工大学理学院,杭州310018
Author(s):
YU Hang;  ZHANG Xiaohui
School of Science, Zhejiang Sci-Tech University, Hangzhou 310018, China
关键词:
分类号:
O174.6
文献标志码:
A
摘要:
Euler-Mascheroni常数(Euler常数)的快速逼近是近年来研究者们感兴趣的问题。为了快速逼近计算
Euler常数,研究了快速收敛到Euler常数的序列及相关不等式问题。通过修改调和数项和引入连分数项,提出了两
类基于上述修改的收敛到Euler常数的新序列,证明了它们的收敛速度和相关不等式,并对一些新序列的逼近值进
行了数值计算和比较。结果表明:在新序列的基础上建立的与Euler常数相关的几个逼近不等式,扩展和改进了已
有文献中的相关逼近不等式,数值计算验证了新序列能更快速地收敛到Euler常数。所得改进序列在Euler常数的
快速计算方面较有意义。

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2023-04-07 网络出版日期:2023-06-07
基金项目:浙江省自然科学基金项目(LY22A010004);国家自然科学基金项目(11771400)
作者简介:余 航(1999— ),男,浙江衢州人,硕士研究生,主要从事复分析方面的研究。
通信作者:张孝惠,E-mail:xiaohui.zhang@zstu.edu.cn
更新日期/Last Update: 2025-11-25