Sharp Wilker- and Huygens-type inequalities for inverse trigonometric and inverse hyperbolic functions

DOI10.1080/10652469.2011.644851zbMath1264.26018OpenAlexW2036444172MaRDI QIDQ3144974

Chao-Ping Chen

Publication date: 13 December 2012

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2011.644851

zbMATH Keywords

inequalities for trigonometric functions and polynomialsinequalities involving other types of functions

Mathematics Subject Classification ID

Inequalities for trigonometric functions and polynomials (26D05) Inequalities involving other types of functions (26D07)

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Cites Work

• A source of inequalities for circular functions
• Some new inequalities of the Huygens type
• On extension and refinement of Wilker's inequality
• On some inequalities involving trigonometric and hyperbolic functions with emphasis on the Cusa-Huygens, Wilker, and Huygens inequalities
• A New Simple Proof of Wilker's Inequality
• A further refinement of Wilker's inequality
• L'Hospital Rules for Monotonicity and the Wilker-Anglesio Inequality
• One- and two-sided inequalities for Jacobian elliptic functions and related results
• The best bounds in Wallis’ inequality
• A weighted and exponential generalization of Wilker's inequality and its applications
• On Wilker-type inequalities

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