Abstract In this paper, the authors present some inequalities of the generalized trigonometric and hyperbolic functions which occur in the solutions of some linear differential equations and physics. By these results, some well-known classical inequalities for them are improved, such as Wilker inequality, Huygens inequality, Lazarević inequality and Cusa-Huygens inequality.

中文翻译：

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广义三角函数和双曲函数的不等式

摘要 在本文中，作者提出了一些线性微分方程和物理学的解中出现的广义三角函数和双曲函数的一些不等式。通过这些结果，对它们的一些著名的经典不等式进行了改进，例如 Wilker 不等式、Huygens 不等式、Lazarević 不等式和 Cusa-Huygens 不等式。