中文摘要：

研究了等差项乘积^n∏i=1ai的渐进估计.首先给出了一系列关于等差项乘积的不等式,继而应用Euler-Maclaurin求和公式及Γ函数的Stirling公式：Γ（x＋1）√2πx（1/2）（x/e）x（x→＋∞）,推导出了∏ni=1ai的较精确的渐进式,最后,得到了精确化的Wallis公式.

英文摘要：

The asymptotic formulas on the product of arithmetic terms ^n∏i=1 ai are studied in this paper. At first, a series of new inequalities for the product of arithmetic terms were given.Then an accurate asymptotic formula for ^n∏i=1 aiwas deduced by applying Euler-Maclaurin v - formula and Stirling＇s formula for the gamma function Г（x＋1）-√2πx（x/e）^x（x→＋∞） Moreover, a precise Wallis＇s formula was obtained