A note on Jordan type inequalities for hyperbolic functions

DOI10.1016/j.aml.2011.09.046zbMath1247.26026OpenAlexW2057549812MaRDI QIDQ427659

Yu-Ming Chu, Yu-Pei Lv, Gen-Di Wang

Publication date: 14 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.aml.2011.09.046

zbMATH Keywords

hyperbolicJordan type inequalities

Mathematics Subject Classification ID

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

Related Items (17)

Topics in Special Functions III ⋮ New Mitrinović-Adamović type inequalities ⋮ Improved bounds of Mitrinović-Adamović-type inequalities by using two-parameter functions ⋮ New sharp inequalities of Mitrinovic-Adamovic type ⋮ Some New Simple Inequalities Involving Exponential, Trigonometric and Hyperbolic Functions ⋮ Refinements of some classical inequalities involving sinc and hyperbolic sinc functions ⋮ New inequalities for hyperbolic functions based on reparameterization ⋮ A sharp double inequality for trigonometric functions and its applications ⋮ Sharp inequalities for trigonometric functions ⋮ Sharp Cusa type inequalities with two parameters and their applications ⋮ Jordan type inequalities for hyperbolic functions and their applications ⋮ New bounds of sinc function by using a family of exponential functions ⋮ Three families of two-parameter means constructed by trigonometric functions ⋮ Inequalities for the generalized trigonometric and hyperbolic functions ⋮ Some new bounds for Sinc function by simultaneous approximation of the base and exponential functions ⋮ An unity of Mitrinovic-Adamovic and Cusa-Huygens inequalities and the analogue for hyperbolic functions ⋮ Certain inequalities of Kober and Lazarevic type

Cites Work

• On Jordan type inequalities for hyperbolic functions
• Inequalities for the generalized elliptic integrals and modular functions
• A general refinement of Jordan-type inequality
• Six new Redheffer-type inequalities for circular and hyperbolic functions
• A new generalized and sharp version of Jordan's inequality and its applications to the improvement of the Yang Le inequality. II
• On the strengthened Jordan's inequality
• A new generalized and sharp version of Jordan's inequality and its applications to the improvement of the Yang Le inequality
• Topics in Special Functions
• Topics in special functions. II
• Sharpening of Jordan's inequalities and its applications
• Analytic Inequalities
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