Sharpness of Wilker and Huygens type inequalities
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Publication:371004
DOI10.1186/1029-242X-2012-72zbMath1279.26030OpenAlexW2071798434WikidataQ59290343 ScholiaQ59290343MaRDI QIDQ371004
Publication date: 20 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-2012-72
Related Items (19)
Padé approximant related to remarkable inequalities involving trigonometric functions ⋮ New inequalities of Huygens-type involving tangent and sine functions ⋮ Refinements of Huygens- and Wilker-type inequalities ⋮ A method to prove inequalities and its applications ⋮ Some general Wilker-Huygens inequalities ⋮ Some notes on a method for proving inequalities by computer ⋮ A subtly analysis of Wilker inequality ⋮ Topics in Special Functions III ⋮ Sharp Wilker-type inequalities with applications ⋮ Sharp exponential approximate inequalities for trigonometric functions ⋮ A proof of two conjectures of Chao-Ping Chen for inverse trigonometric functions ⋮ A constructive method for approximating trigonometric functions and their integrals ⋮ Sharp Wilker and Huygens type inequalities for trigonometric and inverse trigonometric functions ⋮ On the Wilker and Huygens-type inequalities ⋮ Padé approximants for inverse trigonometric functions and their applications ⋮ Some new results of Mitrinović-Cusa's and related inequalities based on the interpolation and approximation method ⋮ Sharp inequalities of Mitrinovic-Adamovic type ⋮ Approximating trigonometric functions by using exponential inequalities ⋮ Series representations of the remainders in the expansions for certain trigonometric functions and some related inequalities. II
Cites Work
- A source of inequalities for circular functions
- Some new inequalities of the Huygens type
- A further refinement of Wilker's inequality
- L'Hospital Rules for Monotonicity and the Wilker-Anglesio Inequality
- Asymptotic expansions and inequalities for hypergeometric function
- A weighted and exponential generalization of Wilker's inequality and its applications
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