A note on Jordan type inequalities for hyperbolic functions
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Publication:427659
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
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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