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Inequalities for generalized trigonometric and hyperbolic functions with one parameter

Miao-Kun Wang, Miao-Ying Hong, Yangfan Xu, Zhonghua Shen, Yu‐Ming Chu

2020Journal of Mathematical Inequalities202 citationsDOIOpen Access PDF

Abstract

In the article, we establish several new inequalities for the generalized trigonometric and hyperbolic functions with one parameter, generalize the well known Mitrinovi-Adamovi, Lazarevi, Huygens-type, Wilker-type and Cusa-Huygens-type inequalities to the cases of the generalized trigonometric and hyperbolic functions with one parameter.

Topics & Concepts

MathematicsTrigonometryHyperbolic functionInequalityTrigonometric functionsPure mathematicsApplied mathematicsCalculus (dental)Mathematical analysisGeometryMedicineDentistryDifferential Equations and Boundary ProblemsMathematical Inequalities and ApplicationsNumerical methods in inverse problems
Inequalities for generalized trigonometric and hyperbolic functions with one parameter | Litcius