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.


Keywords


MSC


References