关于Orlicz空间中多项式最佳逼近的唯一性定理

Uniqueness Theorem with Respect to Optimal Approximation of Polynomial in Orlicz Space

本文用Orlicz空间的几何理论研究了Orlicz空间中多项式最佳逼近的唯一性问题,对Orlicz空间具有唯一的最佳逼近多项式提出了充分条件。

This paper deals with uniqueness problem on optimal approximation of poly- nomial in Orliez Space. It is a study based on geometrical theory of Orlicz. space. It gives sufficient conditions for Orlicz space to have unique optimal appro- ximation of polynmial.