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We show that certain inequalities for the means A, G, L, I proved by H.-J. Seiffert [12] as well as by H. Alzer and S.-L. Qiu [3] are consequences of some results of the author [5], [7], [9].
Extending Means of Two Variables to Several Variables
Means Logarithmic mean Divided differences Series expansions Symmetric polynomials
2008/7/1
We present a method, based on series expansions and symmetric polynomials, by which a mean of two variables can be extended to several variables. We apply it mainly to the logarithmic mean.
Note on Certain Inequalities for Means in Two Variables
Arithmetic mean Geometric mean Identric mean
2008/6/27
Note on Certain Inequalities for Means in Two Variables.