Necessary and sufficient conditions for Schur geometrical convexity of the four-parameter homogeneous means

DOI10.1155/2010/830163zbMath1190.26004OpenAlexW1999695824WikidataQ58649934 ScholiaQ58649934MaRDI QIDQ981108

Zhen-Hang Yang

Publication date: 30 June 2010

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/224289

Mathematics Subject Classification ID

Convexity of real functions in one variable, generalizations (26A51) Means (26E60)

Related Items (4)

Schur convexity of mixed mean of n variables involving three parameters ⋮ Schur-convexity for a mean of two variables with three parameters ⋮ Unnamed Item ⋮ Schur \(m\)-power convexity of a class of multiplicatively convex functions and applications

Cites Work

• Notes on the Schur-convexity of the extended mean values
• On the monotonicity and log-convexity of a four-parameter homogeneous mean
• Necessary and sufficient conditions such that extended mean values are Schur-convex or Schur-convave
• Some monotonicity results for the ratio of two-parameter symmetric homogeneous functions
• Schur-convexity and Schur-geometrically concavity of Gini means
• Solution of an open problem for Schur convexity or concavity of the Gini mean values
• The Schur-convexity of Stolarsky and Gini means
• A note on Schur-convexity of extended mean values
• Di una formula comprensiva delle medie
• On the log-convexity of two-parameter homogeneous functions
• Generalizations of the Logarithmic Mean
• Convexity according to the geometric mean
• An alternative note on the Schur-convexity of the extended mean values
• Inequalities: theory of majorization and its applications
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