TY - JOUR AU - Xia, Fang-Li AU - Qian, Wei-Mao AU - Chen, Shu-Bo AU - Chu, Yu-Ming PY - 2016 TI - Sharp bounds for Neuman means with applications JO - Journal of Nonlinear Sciences and Applications SP - 2031--2038 VL - 9 IS - 5 AB - 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. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.009.05.09 DO - 10.22436/jnsa.009.05.09 ID - Xia2016 ER -