Schur-Convexity and Schur-Geometrically Concavity of Gini Mean

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Shi, Huan-Nan (2007) Schur-Convexity and Schur-Geometrically Concavity of Gini Mean. Research report collection, 10 (2).

Abstract

The monotonicity and the Schur-convexity with parameters (s, t) in R² for fixed (x, y) and the Schur-convexity and the Schur-geometrically convexity with variables (x, y) in R²₊₊ for fixed (s, t) of Gini mean G(r, s; x, y) are discussed. Some new inequalities are obtained.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/18366
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords Gini mean, Stolarsky mean, Schur-convexity, Schur-geometric concavity, inequality
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