By using two-parameter functions, this paper presents a family of new Wilker and Huygens type inequalities involving inverse trigonometric functions. It can recover parts of previous results, and can also achieve much better approximation performance than those of prevailing methods. The application of approximating the integral computation is shown by numerical examples, which shows the better approximation effect of the new method. More other forms of bounding functions, or even three-parameter functions, can be used for further improvement.

中文翻译：

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反三角函数的 Wilker 和 Huygens 型不等式的新界限

通过使用双参数函数，本文提出了一系列涉及反三角函数的新的 Wilker 和 Huygens 型不等式。它可以恢复部分先前的结果，并且还可以获得比流行方法更好的逼近性能。数值算例说明了近似积分计算的应用，表明新方法的近似效果较好。更多其他形式的边界函数，甚至三参数函数，可以用于进一步改进。