Sharp bounds for Neuman means in terms of one-parameter family of bivariate means

被引：0

作者：

Shao, Zhi-Hua ^{[1
]}

Qian, Wei-Mao ^{[2
]}

Chu, Yu-Ming ^{[1
]}

机构：

[1] Hunan City Univ, Sch Math & Computat Sci, Yiyang 413000, Peoples R China

[2] Huzhou Broadcast & TV Univ, Sch Distance Educ, Huzhou 313000, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

关键词：

Neuman means; one-parameter mean; harmonic mean; geometric mean; arithmetic mean; quadratic mean; contraharmonic mean;

D O I：

10.1186/1029-242X-2014-468

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present the best possible parameters p(1), p(2), p(3), p4, q(1), q(2), q(3), q(4) is an element of [0,1] such that the double inequalities G(p1) (a, b) < S-HA(a, b) < G(q1) (a, b), Q(p2) (a, b) < S-CA(a, b) < Q(q2) (a, b), H-p3 (a, b) < S-AH(a, b) < H-q3 (a, b), C-p4 (a, b) < S-AC(a, b) < C-q4 (a, b) hold for all a, b > 0 with a not equal b, where S-HA, S-CA, S-AH, S-AC are the Neuman means, and G(p), Q(p), H-p, C-p are the one-parameter means.

引用

页数：11

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