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Mathematical inequalities on some weighted means

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Publication:6175624
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DOI10.7153/jmi-2023-17-30arXiv2110.06493OpenAlexW4384078628MaRDI QIDQ6175624

Shigeru Furuichi, Kenjiro Yanagi, Hamid Reza Moradi

Publication date: 24 July 2023

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.06493


zbMATH Keywords

convexityarithmetic-geometric mean inequalityJensen inequalityHermite-Hadamard inequalityweighted logarithmic mean


Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Means (26E60) Inequalities in real analysis (26D99) Inequalities involving other types of functions (26D07)


Related Items (1)

Improvements of the weighted Hermite-Hadamard inequality and applications to mean inequality



Cites Work

  • The logarithmic mean of two convex functionals
  • On weighted means and their inequalities
  • A new class of operator monotone functions via operator means
  • Advances in Mathematical Inequalities
  • Analytic Inequalities
  • Refined inequalities on the weighted logarithmic mean


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