This paper deals with the Schwab-Borchardt mean. Emphasis is on the inequalities
connecting the mean in question with other means of two variables. For special values of its …

We give an overview of the use of asymptotic expansions of gamma and related functions—
ratio of gamma functions, powers, digamma and polygamma functions. The aim is to …

We prove that the Gini mean values S (a, b; x, y) are Schur harmonic convex with respect to
(x, y)∈(0,∞)×(0,∞) if and only if (a, b)∈{(a, b): a≥ 0, a≥ b, a+ b+ 1≥ 0}∪{(a, b): b≥ a, a+ …

Banach J. Math. Anal. 1 (2007), no. 2, 212–215 THE SCHUR-CONVEXITY OF STOLARSKY
AND GINI MEANS 1. Introduction Let x, y > 0 Page 1 Banach J. Math. Anal. 1 (2007), no. 2 …

In this paper, the Schur convexity is generalized to Schur $ f $-convexity, which contains the
Schur geometrical convexity, harmonic convexity and so on. When $ f $: ${\mathbb {R}} …

Corrado Gini: the man and the scientist Page 1 METRON - International Journal of Statistics
2011, vol. LXIX, n. 1, pp. 1-28 GIOVANNI MARIA GIORGI Corrado Gini: the man and the …

A four-parameter homogeneous mean is defined by another approach. The criterion of its
monotonicity and logarithmically convexity is presented, and three refined chains of …

In the article, we prove that the double inequality 25= 16 &lt; ε (r)/S< sub> 5/2, 2 (1, ŕ) &lt; π/2,
holds for all r∈(0, 1) with the best possible constants 25/16 and π/2, where ŕ=(1-r< sup> 2)< …

COMPANION INEQUALITIES FOR CERTAIN BIVARIATE MEANS Page 1 Applicable Analysis
and Discrete Mathematics available online at http://pefmath.etf.bg.ac.yu Appl. Anal. Discrete …

Sažetak Refinements of generalized Hermite-Hadamard's inequalities for multivariate g-
convex functions are given. Since special instances of the g-convex functions include the r …