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Motivated by the recent work of Schechtman and Sherman [The twosample t-test with a known ratio of variances. Statistical Methodology 4, 508-514, (2007).], we investigate, in this paper, a new exact c...
A note on the Euclidean norms of matrices with arithmetic-geometric-harmonic means.
We study a certain monotonicity property of ratios of means, which we call a strong inequality. These strong inequalities were recently shown to be related to the so-called relative metric. We also us...
The author uses certain property of convex functions to prove Bernoulli's inequality and to obtain a simple proof of monotonicity of power means.
A New Proof of the Monotonicity Property of Power Means.
Recently obtained inequalities [12] between the Gaussian hypergeometric function and the power mean are applied to establish new sharp inequalities involving the weighted identric, logartithmic, and p...
We conjecture that the general mean of two positive numbers, as a function of its order, has one and only one inflection point. No analytic proof seems available due to the extreme complexity of the s...
In this paper we give a variant of Jessen's inequality for isotonic linear functionals. Our results generalize some recent results of Gavrea. We also give comparison theorems for generalized means.
An Extension of the Hermite-Hadamard Inequality and an Application for Gini and Stolarsky Means.
An Inequality Between Compositions of Weighted Arithmetic and Geometric Means.
In this paper we present sharp estimates for the difference of general integral means with respect to even different finite measures. This is achieved by the use of the Ostrowski and Fink inequalities...
In this note we investigate the convexity of zero-balanced Gaussian hypergeometric functions and general power series with respect to Hölder means.
Convexity of Weighted Stolarsky Means.

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