Slater条件、BCQ条件、强CHIP性质和限制域最佳逼近的特征

Slater Condition,BCQ Condition,Strong-CHIP and Characterization of the Best Approximation with Restrictions

针对广义限制域的最佳逼近问题,在允许有有限个节点的情况下,运用优化理论中的Slate条件、BCQ条件、强CHIP性质的定义,刻划了Slate条件、BCQ条件、强CHIP性质和最佳逼近的特征之间的关系.

The problem of the best approximation with generalized restrictions is investigated. Under the assumption that there are finite intersection points, making use of Slater Condition, BCQ condition and Strong-CHIP from optimization theory, the paper presents the relationship of the Slater Condition, the BCQ condition, the Strong-CHIP and the characterization of the best approximation with generalized restrictions.