Abstract
We find the least values , , and in (0, 1/2) such that the inequalities , , , and hold for all with , respectively. Here , and denote the arithmetic-geometric, harmonic, geometric, and logarithmic means of two positive numbers a and b, respectively.
Citation
Yu-Ming Chu. Miao-Kun Wang. "Optimal Inequalities between Harmonic, Geometric, Logarithmic, and Arithmetic-Geometric Means." J. Appl. Math. 2011 1 - 9, 2011. https://doi.org/10.1155/2011/618929
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