@article {
author = {Chu, Y. and Hou, S. and Xia, W.},
title = {Optimal convex combinations bounds of centrodial and harmonic means for logarithmic and identric means},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {39},
number = {2},
pages = {259-269},
year = {2013},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {We find the greatest values $alpha_{1} $ and $alpha_{2} $, and the least values $beta_{1} $ and $beta_{2} $ such that the inequalities $alpha_{1} C(a,b)+(1-alpha_{1} )H(a,b)0$ with $aneq b$. Here, $C(a,b)$, $H(a,b)$, $L(a,b)$, and $I(a,b)$ are the centroidal, harmonic, logarithmic, and identric means of two positive numbers $a$ and $b$, respectively.},
keywords = {logarithmic mean,identric mean,centroidal mean,harmonic mean},
url = {http://bims.iranjournals.ir/article_411.html},
eprint = {http://bims.iranjournals.ir/article_411_ce7ebf9563324f84f8dface04487e196.pdf}
}