SHARP BOUNDS FOR THE NEUMAN-SANDOR MEAN IN TERMS OF GENERALIZED LOGARITHMIC MEAN

被引：36

作者：

Li, Yong-Min ^{[1
]}

Long, Bo-Yong ^{[2
]}

Chu, Yu-Ming ^{[3
]}

机构：

[1] Huzhou Teachers Coll, Dept Math, Huzhou 313000, Peoples R China

[2] Anhui Univ, Sch Math Sci, Hefei 230039, Peoples R China

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

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2012年 / 6卷 / 04期

关键词：

Neuman-Sandor mean; generalized logarithmic mean; power mean; Seiffert mean; DOUBLE INEQUALITIES; POWER; MONOTONICITY; SEIFFERT;

D O I：

10.7153/jmi-06-54

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we find the largest value alpha and least value beta such that the double inequality L-alpha(a,b) < M(a,b) < L-beta(a,b) holds for all a,b > 0 with a not equal b. Here, M(a,b) and L-p(a,b) are the Neuman-Sandor and p-th generalized logarithmic means of a and b, respectively.

引用

页码：567 / 577

页数：11

共 50 条

[1] Sharp bounds for the reciprocals of the Neuman-Sandor mean
Wang, Xueling
Yin, Li
[J]. JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2022, 25 (06) : 1767 - 1776
[2] Sharp bounds for the Neuman-Sandor mean in terms of the power and contraharmonic means
Jiang, Wei-Dong
Qi, Feng
[J]. COGENT MATHEMATICS, 2015, 2
[3] Sharp bounds for Neuman-Sandor's mean in terms of the root-mean-square
Jiang, Wei-Dong
Qi, Feng
[J]. PERIODICA MATHEMATICA HUNGARICA, 2014, 69 (02) : 134 - 138
[4] Sharp bounds for Seiffert and Neuman-Sandor means in terms of generalized logarithmic means
Chu, Yu-Ming
Long, Bo-Yong
Gong, Wei-Ming
Song, Ying-Qing
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[5] OPTIMAL BOUNDS FOR THE FIRST SEIFFERT MEAN IN TERMS OF THE CONVEX COMBINATION OF THE LOGARITHMIC AND NEUMAN-SANDOR MEAN
Lei, Jian-Jun
Chen, Jing-Jing
Long, Bo-Yong
[J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2018, 12 (02): : 365 - 377
[6] Optimal bounds for Neuman-Sandor mean in terms of the convex combination of the logarithmic and the second Seiffert means
Chen, Jing-Jing
Lei, Jian-Jun
Long, Bo-Yong
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
[7] SHARP BOUNDS FOR NEUMAN-SANDOR MEAN IN TERMS OF THE CONVEX COMBINATION OF QUADRATIC AND FIRST SEIFFERT MEANS
Chu, Yuming
Zhao, Tiehong
Song, Yingqing
[J]. ACTA MATHEMATICA SCIENTIA, 2014, 34 (03) : 797 - 806
[8] Bounds for the Arithmetic Mean in Terms of the Neuman-Sandor and Other Bivariate Means
Zhang, Fan
Chu, Yu-Ming
Qian, Wei-Mao
[J]. JOURNAL OF APPLIED MATHEMATICS, 2013,
[9] Optimal bounds for the Neuman-Sandor mean in terms of the first Seiffert and quadratic means
Gong, Wei-Ming
Shen, Xu-Hui
Chu, Yu-Ming
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[10] Bounds for the Neuman-Sandor Mean in Terms of the Arithmetic and Contra-Harmonic Means
Li, Wen-Hui
Miao, Peng
Guo, Bai-Ni
[J]. AXIOMS, 2022, 11 (05)

← 1 2 3 4 5 →