Sharp Cusa and Becker-Stark inequalities

DOI10.1186/1029-242X-2011-136zbMath1275.26025OpenAlexW2130931834WikidataQ59269389 ScholiaQ59269389MaRDI QIDQ366130

Mohammad Hasan, M. Dambrine, H. S. Yoon

Publication date: 11 September 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2011-136

zbMATH Keywords

inequalitiestrigonometric functions

Mathematics Subject Classification ID

Inequalities for trigonometric functions and polynomials (26D05)

Related Items (27)

New Cusa-Huygens type inequalities ⋮ A method to prove inequalities and its applications ⋮ Some notes on a method for proving inequalities by computer ⋮ Topics in Special Functions III ⋮ Sharp Redheffer-type and Becker-Stark-type inequalities with an application ⋮ A note on the Becker-Stark type inequalities ⋮ A proof of an open problem of Yusuke Nishizawa for a power-exponential function ⋮ Sharp exponential approximate inequalities for trigonometric functions ⋮ The relationship between Huygens’ and Wilker’s inequalities and further remarks ⋮ Sharp Becker-Stark's type inequalities with power exponential functions ⋮ A note on Jordan, Adamović-Mitrinović, and Cusa inequalities ⋮ A sharp double inequality for trigonometric functions and its applications ⋮ Sharp Cusa type inequalities with two parameters and their applications ⋮ Sharpening of Jordan's type and Shafer-Fink's type inequalities with exponential approximations ⋮ Refined quadratic estimations of Shafer's inequality ⋮ Sharp inequalities for tangent function with applications ⋮ Refinements of Jordan-Stečkin and Becker-Stark inequalities ⋮ On the Cusa-Huygens inequality ⋮ New refinements of Cusa-Huygens inequality ⋮ Sharpness and generalization of Jordan, Becker-Stark and Papenfuss inequalities with an application ⋮ On the generalized Becker-Stark type inequalities ⋮ Sharp inequalities of Mitrinovic-Adamovic type ⋮ Approximating trigonometric functions by using exponential inequalities ⋮ Some sharp circular and hyperbolic bounds of exp(-x2) with applications ⋮ The Cusa-Huygens inequality revisited ⋮ Generalizations and refinements of Stečkin-type inequality for tangent and secant functions ⋮ Remark on the paper of Zheng Jie Sun and Ling Zhu

Cites Work

• A source of inequalities for circular functions
• Generalized elliptic integrals and modular equations

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