On Huygens inequalities and the theory of means

DOI10.1155/2012/597490zbMath1248.26038OpenAlexW2042307275WikidataQ58704878 ScholiaQ58704878MaRDI QIDQ456528

József Sándor

Publication date: 16 October 2012

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/597490

zbMATH Keywords

trigonometric inequalitieshyperbolic inequalities

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15)

Related Items (4)

Elementary Proofs of the Trigonometric Inequalities of Huygens, Cusa, and Wilker ⋮ Some new results of Mitrinović-Cusa's and related inequalities based on the interpolation and approximation method ⋮ Sharp inequalities of Mitrinovic-Adamovic type ⋮ On logarithm of circular and hyperbolic functions and bounds for exp \(( \pm x^2)\)

Cites Work

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• A note on some inequalities for means
• On the identric and logarithmic means
• Extended mean values. II
• On certain inequalities for means. II
• On some inequalities involving trigonometric and hyperbolic functions with emphasis on the Cusa-Huygens, Wilker, and Huygens inequalities
• New refinements of two inequalities for means
• The Logarithmic Mean
• On certain inequalities for means. III

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