Optimal bounds for logarithmic and identric means in terms of generalized centroidal mean
Journal of Applied Analysis, 2013Summary: Best possible upper and lower bounds are given for the logarithmic and identric mean values in terms of the generalized centroidal mean.
Yu-Ming Chu, Gendi Wang
exaly +3 more sources
Unidimensional Search Scheme Using Identric Mean for Optimization Problems
In this paper, a new unidimensional search scheme called Identric mean (IM) scheme is proposed. Numerical results on five test functions show that the proposed IM method is superior to the existing RMS method in the literature.
P. Kanniappan, K. Thangavel
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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 StatisticsAliaa Burqan +2 more
exaly +2 more sources
Inequalities between identric mean and convex combinations of other means
Mathematical Inequalities and ApplicationsChao-Ping Chen
exaly +2 more sources
Efficient Image Enhancement Model for Retinal Fundus Images Using Identric Mean With Wavelet
Lecture Notes in Networks and SystemsG Sakthivel, R Manavalan
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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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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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Three Inequalities for the Arithmetic, Identric, and Geometric Means
SIAM Review, 1996openaire +1 more source
New bounds for the identric and logarithmic means
Mathematical Inequalities & ApplicationsShun-Wei Xu +2 more
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