基于Carlson双边不等式的一个优化

An Optimized Bilateral Inequality Based on Carlson

反三角函数是数学中的一类重要的初等函数,它在通信工程、图像压缩、灰色预测等方面都有广泛的应用。Carlson不等式是数学中的一个著名不等式,许多学者对其有着广泛的研究,本文在此基础上进行优化,建立了反余弦函数的一个新双边不等式,并给出了一个它与Carlson不等式的数值对比表。

The inverse trigonometric function is a kind of important elementary function in mathematics, which has extensive application in communication engineering, image compression, grey prediction and so on. Carlson inequalities is a famous one in mathematics, into which many scholars have made extensive research. In this article, on the basis of its optimization, the cosine function is established, and a new bilateral inequalities is given a numerical comparison table with Carlson inequality.