Elementary Proofs of the Trigonometric Inequalities of Huygens, Cusa, and Wilker

DOI10.1080/0025570X.2020.1793634zbMath1459.26028WikidataQ113852081 ScholiaQ113852081MaRDI QIDQ5137093

Roger B. Nelsen

Publication date: 1 December 2020

Published in: Mathematics Magazine (Search for Journal in Brave)

Mathematics Subject Classification ID

Means (26E60) Inequalities for trigonometric functions and polynomials (26D05) Exponential and trigonometric functions (33B10)

Cites Work

• On Huygens inequalities and the theory of means
• On certain old and new trigonometric and hyperbolic inequalities
• Problem-solving through problems
• On some inequalities involving trigonometric and hyperbolic functions with emphasis on the Cusa-Huygens, Wilker, and Huygens inequalities
• Extensions of the generalized Wilker inequality to Bessel functions
• Analytic Inequalities

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