Sharp bounds for Neuman means with applications
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Authors
Fang-Li Xia
- School of Mathematics and Computation Sciences, Hunan City University, Yiyang 413000, China.
Wei-Mao Qian
- School of Distance Education, Huzhou Broadcast and TV University, Huzhou 313000, China.
Shu-Bo Chen
- School of Mathematics and Computation Sciences, Hunan City University, Yiyang 413000, China.
Yu-Ming Chu
- School of Mathematics and Computation Sciences, Hunan City University, Yiyang 413000,, China.
Abstract
In the article, we present the sharp bounds for the Neuman mean NAG(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-Sándor and logarithmic means.
Share and Cite
ISRP Style
Fang-Li Xia, Wei-Mao Qian, Shu-Bo Chen, Yu-Ming Chu, Sharp bounds for Neuman means with applications, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 5, 2031--2038
AMA Style
Xia Fang-Li, Qian Wei-Mao, Chen Shu-Bo, Chu Yu-Ming, Sharp bounds for Neuman means with applications. J. Nonlinear Sci. Appl. (2016); 9(5):2031--2038
Chicago/Turabian Style
Xia, Fang-Li, Qian, Wei-Mao, Chen, Shu-Bo, Chu, Yu-Ming. "Sharp bounds for Neuman means with applications." Journal of Nonlinear Sciences and Applications, 9, no. 5 (2016): 2031--2038
Keywords
- Neuman mean
- Schwab-Borchardt mean
- harmonic mean
- geometric mean
- arithmetic mean
- quadratic mean
- contra-harmonic mean.
MSC
References
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