Sharpening Redheffer-type inequalities for circular functions
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Publication:1021814
DOI10.1016/j.aml.2008.08.012zbMath1172.26313OpenAlexW2094055265MaRDI QIDQ1021814
Publication date: 9 June 2009
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2008.08.012
Inequalities for trigonometric functions and polynomials (26D05) Exponential and trigonometric functions (33B10)
Related Items (12)
New bounds for the exponential function with cotangent ⋮ Sharper bounds and new proofs of the exponential function with cotangent ⋮ Topics in Special Functions III ⋮ Sharp Redheffer-type and Becker-Stark-type inequalities with an application ⋮ On Jordan type inequalities for hyperbolic functions ⋮ Improved bounds of Mitrinović-Adamović-type inequalities by using two-parameter functions ⋮ Monotonous two-parameter functions for asymptoticly approximating the inequalities involving the inverse tangent functions ⋮ New bounds of sinc function by using a family of exponential functions ⋮ Sharp inequalities for tangent function with applications ⋮ Some new bounds for Sinc function by simultaneous approximation of the base and exponential functions ⋮ New inequalities between the inverse hyperbolic tangent and the analogue for corresponding functions ⋮ Sharp bounds on the sinc function via the Fourier series method
Cites Work
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- Monotonicity theorems and inequalities for the complete elliptic integrals
- Six new Redheffer-type inequalities for circular and hyperbolic functions
- Generalized elliptic integrals and modular equations
- Inequalities for quasiconformal mappings in space
- Sharp bounds for the Bernoulli numbers
- On the strengthened Jordan's inequality
- An identity related to Jordan's inequality
- Asymptotic expansions and inequalities for hypergeometric function
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