Geodesic
Sharp bounds for Neuman means with applications
Xia, Fang-Li1 ; Qian, Wei-Mao2 ; Chen, Shu-Bo1 ; Chu, Yu-Ming3
1 School of Mathematics and Computation Sciences, Hunan City University, Yiyang 413000, China
2 School of Distance Education, Huzhou Broadcast and TV University, Huzhou 313000, China
3 School of Mathematics and Computation Sciences, Hunan City University, Yiyang 413000,, China
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 5, p. 2031-2038.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.009.05.09
Classification : 26E60
Keywords: Neuman mean, Schwab-Borchardt mean, harmonic mean, geometric mean, arithmetic mean, quadratic mean, contra-harmonic mean.

Xia, Fang-Li 1 ; Qian, Wei-Mao 2 ; Chen, Shu-Bo 1 ; Chu, Yu-Ming 3

1 School of Mathematics and Computation Sciences, Hunan City University, Yiyang 413000, China
2 School of Distance Education, Huzhou Broadcast and TV University, Huzhou 313000, China
3 School of Mathematics and Computation Sciences, Hunan City University, Yiyang 413000,, China 
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Xia, Fang-Li; Qian, Wei-Mao; Chen, Shu-Bo; Chu, Yu-Ming. Sharp bounds for Neuman means with applications. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 5, p. 2031-2038. doi : 10.22436/jnsa.009.05.09. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.05.09/

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