Sharp bounds for Neuman means with applications


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.


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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


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