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Sharp bounds for Neuman means with applications

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成果类型:
期刊论文
作者:
Xia, Fang-Li;Qian, Wei-Mao;Chen, Shu-Bo;Chu, Yu-Ming*
通讯作者:
Chu, Yu-Ming
作者机构:
[Xia, Fang-Li; Chu, Yu-Ming; Chen, Shu-Bo] Hunan City Univ, Sch Math & Computat Sci, Yiyang 413000, Peoples R China.
[Qian, Wei-Mao] Huzhou Broadcast & TV Univ, Sch Distance Educ, Huzhou 313000, Peoples R China.
通讯机构:
[Chu, Yu-Ming] H
Hunan City Univ, Sch Math & Computat Sci, Yiyang 413000, Peoples R China.
语种:
英文
关键词:
Neuman mean;Schwab-Borchardt mean;harmonic mean;geometric mean;arithmetic mean;quadratic mean;contra-harmonic mean
期刊:
Journal of Nonlinear Sciences and Applications
ISSN:
2008-1898
年:
2016
卷:
9
期:
5
页码:
2031-2038
基金类别:
Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11401192]; Key Project of Hunan Provincial Education DepartmentHunan Provincial Education Department [14A026]; Natural Science Foundation of the Zhejiang Broadcast and TV University [XKT-15G17]
机构署名:
本校为第一且通讯机构
院系归属:
理学院
摘要:
In the article, we present the sharp bounds for the Neuman mean N-AG(a, b), N-GA(a, b), N-QA(a, b) and N-AQ(a, b) in terms of the convex combinations of the arithmetic and one-parameter harmonic and contraharmonic means. As applications, we find several sharp inequalities for the first Seiffert, second Seiffert, Neuman-Sandor and logarith...

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