Results 81 to 87 of about 5,576,128 (87)

A sharp double inequality involving identric, Neuman-Sándor, and quadratic means

SCIENTIA SINICA Mathematica, 2013
本文证明了双向不等式 αI ( a; b )+(1- α ) Q ( a; b ) M ( a; b ) βI ( a; b )+(1- β ) Q ( a; b ) 对所有不相等的正实数 a 和 b 成立当且仅当 α ≥1/2 和 β ≤[e(√2log(1+√2)-1)]/[(√2e-2) log(1+√2)]=0:4121…,其中 I(a; b), M(a; b) 和 Q(a; b) 分别表示 a 和 b 的指数平均、Neuman-Sandor平均和二次平均.
YuMing CHU, TieHong ZHAO
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Improvements of Inequalities for Sándor and Identric Means with Applications

World Journal of Mathematics and Statistics
This paper is devoted to establishing the best possible upper and lower bounds for the Sándor mean and the identric mean in terms of the harmonic and arithmetic means. These two means, which are closely related to other classical means such as the logarithmic and Seiffert means, have attracted considerable attention in recent studies due to their rich ...
Hai-Yao Shi, Fan Zhang, Hui-Zuo Xu
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Three Inequalities for the Arithmetic, Identric, and Geometric Means

SIAM Review, 1996
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OPTIMAL WEIGHTED GEOMETRIC MEAN BOUNDS OF CENTROIDAL AND HARMONIC MEANS FOR CONVEX COMBINATIONS OF LOGARITHMIC AND IDENTRIC MEANS

2015
In this paper, optimal weighted geometric mean bounds of centroidal and harmonic means for convex combination of logarithmic and identric means are proved. We find the greatest value $\gamma(\alpha)$ and the least value $\beta(\alpha)$ for each $\alpha\in (0,1)$ such that the double inequality: $C^{\gamma(\alpha)}(a,b)H^{1-\gamma(\alpha)}(a,b)&lt ...
openaire   +1 more source

Inequalities for Means in Two Variables

, 2003
H. Alzer, S. Qiu
semanticscholar   +1 more source

Unidimensional Search Scheme Using Identric Mean for Optimization Problems

Opsearch, 2017
exaly  

Bounds for the identric mean in terms of one-parameter mean

Applied Mathematical Sciences
Ying-Qing Song, Wei-Feng Xia, Yu-Ming Chu   +2 more
exaly