论文标题
弱非线性和单调操作员的Korovkin型定理
Korovkin type theorems for weakly nonlinear and monotone operators
论文作者
论文摘要
在本文中，我们证明了科罗夫金定理的类似物，在弱非线性和单调算子上作用于几个变量功能的Banach Lattices。我们的结果几乎涉及到处的收敛，衡量的收敛性以及$ l^{p} $ - norm-Norm中的收敛。还包括一些说明该理论的结果。
In this paper we prove analogues of Korovkin's theorem in the context of weakly nonlinear and monotone operators acting on Banach lattices of functions of several variables. Our results concern the convergence almost everywhere, the convergence in measure and the convergence in $L^{p}$-norm. Several results illustrating the theory are also included.
