Wilker-type inequalities for hyperbolic functions

DOI10.1016/j.aml.2011.10.028zbMath1242.26017OpenAlexW2049774585MaRDI QIDQ419081

Lokenath Debnath, Shan-He Wu

Publication date: 18 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.aml.2011.10.028

zbMATH Keywords

hyperbolic functionsparameterWilker-Anglesio inequalitycircular functionsSándor-Bencze's inequalityWilker's inequality

Mathematics Subject Classification ID

Inequalities for trigonometric functions and polynomials (26D05)

Related Items (13)

Some Wilker and Cusa type inequalities for generalized trigonometric and hyperbolic functions ⋮ New refinements of Becker-Stark and Cusa-Huygens inequalities via trigonometric polynomials method ⋮ A method to prove inequalities and its applications ⋮ Wilker-type inequalities for hyperbolic Fibonacci functions ⋮ Wilker and Huygens type inequalities for mixed trigonometric-hyperbolic functions ⋮ Wilker and Huygens-type inequalities for the generalized trigonometric and for the generalized hyperbolic functions ⋮ Sharp Wilker-type inequalities with applications ⋮ The relationship between Huygens’ and Wilker’s inequalities and further remarks ⋮ Lazarević and Cusa type inequalities for hyperbolic functions with two parameters and their applications ⋮ WILKER AND HUYGENS-TYPE INEQUALITIES INVOLVING GUDERMANNIAN AND THE INVERSE GUDERMANNIAN FUNCTIONS ⋮ Refinements of some classical inequalities involving sinc and hyperbolic sinc functions ⋮ Generalized Wilker-type inequalities with two parameters ⋮ A new bounding technique based on infinite product decomposition

Cites Work

• Jordan-type inequalities for differentiable functions and their applications
• A New Simple Proof of Wilker's Inequality
• L'Hospital Rules for Monotonicity and the Wilker-Anglesio Inequality
• On new proofs of Wilker's inequalities involving trigonometric functions
• A new elementary proof of Wilker's inequalities
• A weighted and exponential generalization of Wilker's inequality and its applications
• On Wilker-type inequalities
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