Title of article
Optimal convex combinations bounds of centrodial and harmonic means for logarithmic and identric means
Author/Authors
CHU, Y. M , HOU, S. W , XIA, W. F
Pages
11
From page
259
To page
269
Abstract
we find the greatest values alpha1alpha1 and alpha2alpha2, and the least values beta1beta1 and beta2beta2 such that the inequalities alpha1C(a,b)+(1−alpha1)H(a,b)0a,b>0 with aneqbaneqb. Here, C(a,b)C(a,b), H(a,b)H(a,b), L(a,b)L(a,b), and I(a,b)I(a,b) are the centroidal, harmonic, logarithmic, and identric means of two positive numbers aa and bb, respectively.
Keywords
logarithmic mean , identric mean , centroidal mean , harmonic mean
Journal title
Astroparticle Physics
Serial Year
2013
Record number
2406525
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