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On \(\log\)-convexity for differences of mixed symmetric means

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Publication:650346
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DOI10.1134/S0001434610110180zbMath1252.26029OpenAlexW2060832918MaRDI QIDQ650346

Josip E. Pečarić, Matloob Anwar

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434610110180


zbMATH Keywords

\(\log\)-convexitymixed meanssymmetric power means


Mathematics Subject Classification ID

Means (26E60) Convexity of real functions of several variables, generalizations (26B25)


Related Items (2)

Differences of weighted mixed symmetric means and related results ⋮ New bounds of cyclic Jensen's differences via weighted Hadamard inequalities with applications



Cites Work

  • Unnamed Item
  • Convex functions, partial orderings, and statistical applications
  • New refinements of the Jensen inequalities based on samples with repetitions
  • A refinement of various mean inequalities
  • Remark on an inequality of S. Gabler
  • On logarithmic convexity for differences of power means
  • On Some Hlawka-Type Inequalities of Burkill
  • The Concavity of Discrepancies in Inequalities of the Means and of Hölder




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