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The Schur-convexity of the mean of a convex function

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Publication:1023083
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DOI10.1016/j.aml.2008.04.017zbMath1180.26009OpenAlexW2061152801MaRDI QIDQ1023083

Da-Mao Li, Chun Gu, Huan-Nan Shi

Publication date: 10 June 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2008.04.017


zbMATH Keywords

Schur-concave functionSchur-convex functionHadamard's inequalityStolarsky's mean


Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)


Related Items (4)

\((Q,r)\) model with \(CVaR_\alpha\) of costs minimization ⋮ Majorization involving the cyclic moving average ⋮ The relationship between r-convexity and Schur-convexity and its application ⋮ Refinements of inequalities among difference of means



Cites Work

  • Two mappings in connection to Hadamard's inequalities
  • Inequalities: theory of majorization and its applications
  • A note on Schur-convex functions
  • Unnamed Item




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