有限和的渐近估计

Asymptoic Estimations of Finite Sums

本文利用Euler— Maclaurin求和公式得到了有限和渐近估计的一般结果，作为特 例，改进和推广了华罗庚[1]的两个有广泛应用的定理，还给出了某些有趣的应用.

Using Euler —Maclaurin summation formula, we get the general re sults for asymptotic estimations of finite sums. As special cases, Hua's two theorems in [1] are improved and generalized.Some interest ap-plica tions are given.