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Optimal combinations bounds of root-square and arithmetic means for Toader mean

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成果类型:
期刊论文
作者:
Chu, Yu-Ming*;Wang, Miao-Kun;Qiu, Song-Liang
通讯作者:
Chu, Yu-Ming
作者机构:
[Chu, Yu-Ming] Hunan City Univ, Dept Math & Comp Sci, Yiyang 413000, Peoples R China.
[Wang, Miao-Kun] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Peoples R China.
[Qiu, Song-Liang] Zhejiang Sci Tech Univ, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China.
通讯机构:
[Chu, Yu-Ming] H
Hunan City Univ, Dept Math & Comp Sci, Yiyang 413000, Peoples R China.
语种:
英文
关键词:
Root-square mean;arithmetic mean;Toader mean;complete elliptic integrals
期刊:
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES
ISSN:
0253-4142
年:
2012
卷:
122
期:
1
页码:
41-51
基金类别:
Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11071069]; Natural Science Foundation of Hunan ProvinceNatural Science Foundation of Hunan Province [09JJ6003]; Innovation Team Foundation of the Department of Education of Zhejiang Province [T200924]
机构署名:
本校为第一且通讯机构
院系归属:
理学院
摘要:
We find the greatest value α 1 and α 2, and the least values β 1 and β 2, such that the double inequalities α 1 S(a,b) + (1 − α 1) A(a,b) 

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