论文标题
广义三角和双曲线功能之间的双重性II
Applications of a duality between generalized trigonometric and hyperbolic functions II
论文作者
论文摘要
可以通过作者先前发现的二元公式将广义三角函数和广义双曲线函数相互转换。在本文中，我们将双重公式应用于证明Wilker型不平等，Huygens-Type不平等和（放松的）CUSA-HUYGENS型不平等的双对双对。另外，还给出了先前未获得的多角度和双角度公式。
Generalized trigonometric functions and generalized hyperbolic functions can be converted to each other by the duality formulas previously discovered by the authors. In this paper, we apply the duality formulas to prove dual pairs of Wilker-type inequalities, Huygens-type inequalities, and (relaxed) Cusa-Huygens-type inequalities for the generalized functions. In addition, multiple- and double-angle formulas not previously obtained are also given.
