Inequalities for generalized trigonometric and hyperbolic functions with one parameter

Miao-Kun Wang; Miao-Ying Hong; Yang-Fan Xu; Zhong-Hua Shen; Yuming Chu

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Inequalities for generalized trigonometric and hyperbolic functions with one parameter

机译：具有一个参数的广义三角和双曲函数的不等式

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摘要

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

机译：在本文中，我们为广泛性三角形和双曲函数建立了几种参数，概括了众所周知的Mitrinovi'c-Adamovi'c，Lazarevi'c，Huygens型，Wilker型和Cusa-Huygens型不等式具有一个参数的一定数字三角和双曲函数的情况。

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来源
《Journal of Mathematical Inequalities》 |2020年第1期|共21页
作者
Miao-Kun Wang; Miao-Ying Hong; Yang-Fan Xu; Zhong-Hua Shen; Yuming Chu;
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中图分类数学;
关键词
Generalized trigonometric functiongeneralized hyperbolic functionGammafunctionMitrinovi′c-Adamovi′c inequalityLazarevi′c inequalityHuygens-type inequalityWilker-type inequalityCusa-Huygens-type inequality.;

机译：广义三角函数一致化双曲函数GammafunctionMitrinovi'c-Adamovi'c InequalityLazarevi'c不等式血晶型不等式Wilker型Wilker型InequalityCusa-Huygens型不等式。;

Inequalities for generalized trigonometric and hyperbolic functions with one parameter

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