关于双参数广义三角函数与双曲函数的不等式

Some inequalities for the generalized trigonometric and hyperbolic functions with two parameters

利用经典的Bernoulli不等式,通过初等解析方法与不等式理论建立了带双参数广义三角函数与双曲函数的Gr¨unbaum型不等式;另外,还得到了推广超几何级数3F2的两个双边不等式.

In this paper, we present some Griinbaum type inequalities for the generalized trigonometric and hyperbolic functions with two parameters by applying classical Bernoulli inequality. Meanwhile, we obtain two bilateral inequalities for the generalized hypergeometric function 3F2.