一致收敛的

The former need establish an asymptotic sequence, research domain, convergence and limit of the sequence.

Picard逼近法的要点是建立一个逼近序列，然后考察这个序列取值范围、一致收敛性和极限的存在唯一性。

If each term of the series u1+u2+…un+…is continuous on the interval［a,b］, and this series is uniformly convergent on［a,b］, then its sum function is also continuous on ［a,b］.

若级数u1+u2+…un+…的每一项在［a，b］上连续，而且这级数在［a，b］上一致收敛，则它的和函数也在［a，b］上连续

The second part is in uniform convergence conditions function series, function and parameter improper integral. We properties.

第二部分是在一致收敛条件下函数列、函数项级数以及含参量反常积分的性质。

The nonparametric estimation of conditional functional and its derivatives are studied.

证明了条件泛函及其导数的非参数估计达到最优一致收敛速度。

Theorem 1 If the general term of the series is continuous on .and is unanimous convergent with the sum function on .

定理 1 如果级数的各项在区间上连续，且在区间上一致收敛于，则在上也连续。

Theorem 2 If the general term of the series is continuous on ,and is unanimous convergent with the sum function . Then

定理2 如果级数的各项在区间上连续，且在区间上一致收敛于，则级数在上可以逐项积分，即

The first part gives a constraint on partition, in such a way that a cubic spline of interpolation under such a constraint of partition uniformly converges to a continuous function.

第一部分给出分划的一种限制，使在此限制下三次插值样条一致收敛于连续函数。

The results of simulation show the new algorithm is uniformly convergent and robustness.

该算法具有强一致收敛性和较强的鲁棒性。

In this paper,several quasi-Newton algorithms are generalized to a class of new quasi-Newton equation,several modified quasi-Newton algorithm s are obtained and their global convergence are proved under the objective function is uniformly convex.

将几个拟牛顿算法推广到一类新拟牛顿方程，得到几个修正拟牛顿算法；在目标函数为一致凸的条件下，证明了它们都具有全局收敛性。

FERM principle.key theorem.bounds on rate ofuniform convergence.

模糊风险泛函，FERM原则，关键定理，一致收敛速度的界

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。