Solution of an open problem for Schur convexity or concavity of the Gini mean values

DOI10.1007/s11425-009-0116-5zbMath1179.26068OpenAlexW2042106230MaRDI QIDQ1047828

Wei-Feng Xia, Yu-Ming Chu

Publication date: 6 January 2010

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0116-5

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions of several variables, generalizations (26B25) Inequalities in real analysis (26D99)

Related Items (8)

Monotonicity properties and bounds involving the complete elliptic integrals of the first kind ⋮ A note on Schur-concave functions ⋮ An optimal double inequality between power-type Heron and Seiffert means ⋮ Some properties for a class of symmetric functions with applications ⋮ Necessary and sufficient conditions for Schur geometrical convexity of the four-parameter homogeneous means ⋮ Monotonicity and inequalities involving zero-balanced hypergeometric function ⋮ Majorization theorems for strongly convex functions ⋮ Schur-geometric convexity of the generalized Gini-Heronian means involving three parameters

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