Results 61 to 69 of about 3,756,040 (69)
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Three Inequalities for the Arithmetic, Identric, and Geometric Means
SIAM Review, 1996exaly +3 more sources
Sharp Bounds for the Product and Sum of Logarithmic and Identric Means
Bulletin of the Malaysian Mathematical Sciences SocietyHui-Zuo Xu
exaly +2 more sources
Novel Bounds for Generalized of Logarithmic and Identric Means
Springer Proceedings in Mathematics and StatisticsWasim Audeh, Aliaa Burqan
exaly +2 more sources
Efficient Image Enhancement Model for Retinal Fundus Images Using Identric Mean With Wavelet
Lecture Notes in Networks and SystemsR Manavalan, G Sakthivel
exaly +2 more sources
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 StatisticsThis 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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New bounds for the identric and logarithmic means
Mathematical Inequalities & ApplicationsShun-Wei Xu +2 more
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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)< ...
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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)< ...
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Inequalities between identric mean and convex combinations of other means
Mathematical Inequalities & ApplicationsShun-Wei Xu, Chao-Ping Chen
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