通过对正整数n奇偶性的讨论,研究了Smarandache双阶乘对偶函数S**(n)四次方幂加权均值的分布性质.利用初等方法得到两个渐近公式,补充了有关文献的结论.
The asymptotic properties of the 4-th weighted mean value of the Smarandache double facto-rial dual function S ^** (n)are studied by using classifyingnwhich is positive integer into odd and even.Two asymptotic formula are obtained by using elementary methods,and some related conclusions are supple-mented in some references.