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- Title
Sharp bounds for Neuman means in terms of one-parameter family of bivariate means.
- Authors
Zhi-Hua Shao; Wei-Mao Qian; Yu-Ming Chu
- Abstract
We present the best possible parameters p1, p2, p3, p4, q1, q2, q3, q4 ϵ [0,1] such that the double inequalities Gp1 (a, b) < SHA(a, b) < Gq1 (a, b), Qp2 (a, b) < SCA(a, b) < Qq2 (a, b), Hp3 (a, b) < SAH(a, b) < Hq3 (a, b), Cp4 (a, b) < SAC(a, b) < Cq4 (a, b) hold for all a, b > 0with a ≠ b, where SHA, SCA, SAH, SAC are the Neuman means, and Gp, Qp, Hp, Cp are the one-parameter means.
- Subjects
ARITHMETIC mean; ARCCOSINE function; HYPERBOLIC functions; VECTOR topology; MATHEMATICAL models; NUMERICAL analysis
- Publication
Journal of Inequalities & Applications, 2014, Vol 2014, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/1029-242X-2014-468