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Sharp inequalities for hyperbolic functions

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Publication:2249039
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DOI10.1016/j.amc.2012.06.035zbMath1296.33003OpenAlexW2043922967MaRDI QIDQ2249039

Ling Zhu

Publication date: 27 June 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.06.035


zbMATH Keywords

hyperbolic functionssharp inequalities


Mathematics Subject Classification ID

Inequalities involving other types of functions (26D07) Exponential and trigonometric functions (33B10)


Related Items (2)

Čebyšev-Grüss inequalities for \(\alpha\)-partial derivatives ⋮ Sharp inequalities for hyperbolic functions and circular functions



Cites Work

  • Unnamed Item
  • Inequalities for hyperbolic functions
  • Multi-variable extended mean values
  • Inequalities for differences of powers
  • Inequalities for quasiconformal mappings in space
  • Hölder means, Lehmer means, and \(x^{-1} \log \cosh x\)
  • Some new inequalities for means in two variables
  • An Optimal Two Parameter Bounds for the Identric Mean
  • Generalizations of the Logarithmic Mean
  • Searching for Common Generalizations: The Case of Hyperbolic Functions




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