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Optimal Bounds for Neuman Mean Using Arithmetic and Centroidal Means

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成果类型:
期刊论文
作者:
Song, Ying-Qing;Qian, Wei-Mao;Chu, Yu-Ming*
通讯作者:
Chu, Yu-Ming
作者机构:
[Chu, Yu-Ming; Song, Ying-Qing] 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
期刊:
Journal of Function Spaces
ISSN:
2314-8896
年:
2016
卷:
2016
页码:
1-7
基金类别:
Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11371125, 61374086]; Natural Science Foundation of Zhejiang ProvinceNatural Science Foundation of Zhejiang Province [LY13A010004]; Natural Science Foundation of Hunan ProvinceNatural Science Foundation of Hunan Province [12C0577]; 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:
We present the best possible parameters α 1 , α 2 , β 1 , β 2 ∈ R and α 3 , β 3 ∈ ( 1 / 2,1 ) such that the double inequalities α 1 A ( a , b ) + ( 1 - α 1 ) C ( a , b ) < N Q A ( a , b ) < β 1 A ( a , b ) + ( 1 - β 1 ) C ( a , b ) , A α 2 ( a , b ) C 1 - α 2 ( a , b ) < N Q A ( a , b ) < A β 2 ( a , b ) C 1 - β 2 ( a , b ) , and C [ α 3 a + ( 1 - α 3 ) b , α 3 b + ( 1 - α 3 ) a ] < N Q A ( a , b ) < C [ β 3 a + ( 1 - β 3 ) b , β 3 b + ( 1 - β 3 ) a ] hold for all a , b > 0 with a ≠ b and give several sharp inequalities...

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