Results 61 to 70 of about 129 (75)
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Optimal bounds for logarithmic and identric means in terms of generalized centroidal mean

Journal of Applied Analysis, 2013
Summary: 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

open access: yesOPSEARCH, 2001
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
openaire   +2 more sources

Sharp bounds for the product and sum of logarithmic and identric means

Bulletin of the Malaysian Mathematical Sciences Society
Hui-Zuo Xu
exaly   +2 more sources

Novel Bounds for Generalized of Logarithmic and Identric Means

Springer Proceedings in Mathematics and Statistics
Aliaa Burqan   +2 more
exaly   +2 more sources

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
openaire   +1 more source

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
openaire   +1 more source

New bounds for the identric and logarithmic means

Mathematical Inequalities & Applications
Shun-Wei Xu   +2 more
openaire   +1 more source

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