Wilker and Huygens type inequalities for the Lemniscate functions

DOI10.7153/jmi-06-65zbMath1268.26025OpenAlexW2326468375MaRDI QIDQ4904289

Chao-Ping Chen

Publication date: 28 January 2013

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: http://files.ele-math.com/articles/jmi-06-65.pdf

zbMATH Keywords

inequalitieslemniscate functions

Mathematics Subject Classification ID

Elliptic functions and integrals (33E05) Inequalities involving other types of functions (26D07)

Related Items (13)

A method to prove inequalities and its applications ⋮ Padé approximant related to inequalities for Gauss lemniscate functions ⋮ Shafer-type inequalities for inverse trigonometric functions and Gauss lemniscate functions ⋮ On approximating the arc lemniscate functions ⋮ Sharp bounds for the lemniscatic mean by the weighted Hölder mean ⋮ The relationship between Huygens’ and Wilker’s inequalities and further remarks ⋮ Sharp exponential type inequalities for the arc lemniscate sine function with applications ⋮ Sharp power mean bounds for the lemniscate type means ⋮ Sharp bounds for the lemniscatic mean by the one-parameter geometric and quadratic means ⋮ Generalized Wilker-type inequalities with two parameters ⋮ Monotonicity and inequalities related to the generalized inverse lemniscate functions ⋮ Several Optimal Bounds for Some Means Derived from the Lemniscatic Mean ⋮ Sharp Shafer-Fink type inequalities for Gauss lemniscate functions

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