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Schur-convexity and Schur-geometrically concavity of Gini means
Huan-Nan Shi, Yong-Ming Jiang, Wei-Dong Jiang
Abstract: The Schur-convexity and the Schur-geometrically convexity with variables $(x,y) \in \mathbb{R}_{++}^{2}$ for fixed $(s,t)$ of Gini means $G(r,s;x,y)$ are discussed. Some new inequalities are obtained.
Subjclass[2000] Primary: 26D15, 26A51
Keywords :Gini means, Stolarsky means, Schur-convexity, Schur-geometric concavity, inequalities
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