...∞ φ n (x)dx 显然逐点收歛 (pointwise convergence) 在 此事实上有极大的困难, 克服的方法就是引 进弱收敛 (weak convergence) 的概念。
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证明了一些弱收敛和强收敛定理，并给出了相对收敛率的估计。
Some weak and strong convergence theorems are proved and the estimation of relative convergence rate is obtained.
经典测度的弱收敛在经典概率论等随机数学理论中有着很重要的作用。
The weak convergences of classical measure play an important role in random mathematics theory such as the classical probability theory.
用抛物正则化方法和弱收敛技巧，证明了最优控制的存在性和稳定性。
The existence and stability of the optimal control is established based on the parabolic regularization method and the weak convergence technique.
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