Some Wilker and Cusa type inequalities for generalized trigonometric and hyperbolic functions

DOI10.1186/s13660-018-1644-8zbMath1497.26016OpenAlexW2795292518WikidataQ55333654 ScholiaQ55333654MaRDI QIDQ824470

Li Yin, Xiu-Li Lin, Li-Guo Huang, Yong-Li Wang

Publication date: 15 December 2021

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

Full work available at URL: https://doi.org/10.1186/s13660-018-1644-8

zbMATH Keywords

generalized trigonometric functionarithmetic-geometric means inequalityCusa-type inequalitygeneralized hyperbolic functionpower means inequalityWilker-type inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities for trigonometric functions and polynomials (26D05) Inequalities involving other types of functions (26D07) Exponential and trigonometric functions (33B10)

Related Items (3)

Inequalities and bounds for the \(p\)-generalized trigonometric functions ⋮ Some new results of Mitrinović-Cusa's and related inequalities based on the interpolation and approximation method ⋮ An analytical method for reducing metal artifacts in X-ray CT images

Cites Work

• Convexity of the generalized sine function and the generalized hyperbolic sine function
• Wilker-type inequalities for hyperbolic functions
• On extension and refinement of Wilker's inequality
• Some new Wilker-type inequalities for circular and hyperbolic functions
• Refinements, generalizations, and applications of Jordan's inequality and related problems
• Wilker and Huygens-type inequalities for the generalized trigonometric and for the generalized hyperbolic functions
• On Wilker and Huygens type inequalities
• On some inequalities involving trigonometric and hyperbolic functions with emphasis on the Cusa-Huygens, Wilker, and Huygens inequalities
• A further refinement of Wilker's inequality
• Turán type inequalities for generalized inverse trigonometric functions
• Inequalities for eigenfunctions of the $p$-Laplacian
• On Wilker-type inequalities
• Analytic Inequalities
• Inequalities for the generalized trigonometric and hyperbolic functions

This page was built for publication: Some Wilker and Cusa type inequalities for generalized trigonometric and hyperbolic functions