Schur convexity of mixed mean of n variables involving three parameters

DOI10.2298/FIL2011663WzbMath1499.26227MaRDI QIDQ5081255

Huan-Nan Shi, Chunru Fu, Dong-Sheng Wang

Publication date: 14 June 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

inequalitiesmajorizationSchur convexitySchur harmonic convexitySchur geometric convexitymixed mean of \(n\) variables

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Means (26E60)

Cites Work

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• Schur-convexity of the generalized Heronian means involving two positive numbers
• The Schur convexity of Gini mean values in the sense of harmonic mean
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• Necessary and sufficient conditions such that extended mean values are Schur-convex or Schur-convave
• Necessary and sufficient conditions for Schur geometrical convexity of the four-parameter homogeneous means
• Schur convexity of generalized Heronian means involving two parameters
• Schur-convexity and Schur-geometrically concavity of Gini means
• The Schur-convexity of Stolarsky and Gini means
• The Schur convexity for the generalized Muirhead mean
• On Schur-convexity and Schur-geometric convexity of four-parameter family of means
• Convexity according to the geometric mean

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