非线性一致逼近中域上的局部强单一性常数

Local Strong Unicity Constant on Domain in Nonlinear Uniform Approximation

在局部Haar条件和其他一般条件下,把Bartelt和Henry的关于逼近域的线性一致逼近强单一性常数的连续性定理推广到非线性局部一致逼近.同时。

Using the local Haar and other conditions, Bartelt and Henry′s continuity theorem of the strong unicity constant in linear uniform approximation is generalized to include nonlinearity in the local uniform approximation for the local strong unicity constant. Similarly, the Bartelt′s continuity theorem for the strong unicity constant with respect to the approximated funciton is also generalized.