一类发散级数部分和的精确化不等式

Accurate Inequalities of Partial Sumson a Type of Divergent Series

运用Ｅｕｌｅｒ求和公式的改进的不等式形式，对于一类离散和∑ｎｋ＝ｌｆ（ｋ）（尤其发散级数的部分和）导出带有１个常数且联系Ｂｅｒｎｏｕｌｉ数的精确化不等式，并由此改进了若干渐近公式和经典不等式．

By using the improved inequality of Eulers summation formula, some accurate inequalities of discrete sums ∑nk=lf(k) (especially partial sums of divergent series), each with a constant and in relation to Bernoullis numbers, are built. Some asymptotic formulas and classical inequalities are refined.