The Schur convexity of Gini mean values in the sense of harmonic mean

DOI10.1016/S0252-9602(11)60301-9zbMath1240.26031MaRDI QIDQ655884

Yu-Ming Chu, Wei-Feng Xia

Publication date: 27 January 2012

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

Schur convexGini mean valuesSchur harmonic convex

Mathematics Subject Classification ID

Means (26E60) Convexity of real functions of several variables, generalizations (26B25)

Related Items (13)

Necessary and sufficient conditions on the Schur convexity of a bivariate mean ⋮ Conformable integral inequalities of the Hermite-Hadamard type in terms of GG- and GA-convexities ⋮ Sharp bounds for Toader-type means in terms of two-parameter means ⋮ Monotonicity properties and bounds involving the complete elliptic integrals of the first kind ⋮ Schur convexity of mixed mean of n variables involving three parameters ⋮ Schur-convexity for a mean of two variables with three parameters ⋮ Unnamed Item ⋮ Asymptotic expansion and bounds for complete elliptic integrals ⋮ The Schur multiplicative and harmonic convexities for three classes of symmetric functions ⋮ Some properties for a class of symmetric functions with applications ⋮ Majorization theorems for strongly convex functions ⋮ Schur-convexity for compositions of complete symmetric function dual ⋮ Schur-geometric convexity of the generalized Gini-Heronian means involving three parameters

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