广义三角函数与双曲函数的Wilker-Huygens型不等式

摘要

Wilker-Huygens inequalities for generalized trigonometric and hyperbolic Function with a parameter P were studied by using elementarily analytic method and inequality theory.The strengthened inequality of generalized trigonometric and hyperbolic Function improved the known result.Meanwhile, an open problem was solved by using elementary analytic method, and the corresponding inequalities of generalized hyperbolic functions were obtained, which supplemented integrity of the open problem.%通过初等解析方法与不等式理论, 研究了带有一个参数p的广义三角函数及广义双曲函数的Wilker型与Huygens型不等式, 所给出的广义三角函数与双曲函数的加强不等式改进了已知结果;同时用初等解析方法解决了一个公开问题, 得到了广义双曲函数的相应不等式, 补充了该公开问题的完整性.