关于Orlicz空间中多项式最佳逼近元的特征

The Character with Respect to Element of the Best Polynomial Approximation in Orlicz Space.

最佳逼近理论在工程中应用,需要解决最佳逼近元的实现问题。该文在Orlicz空间中研究最佳多项式逼近元的特征,得出了Otlicz空间中最佳多项式逼近元的充分必要条件和判别法,为Orlicz空间中最佳逼近元的实现找到了一种方法。

The application of the best approximation theory in engineeringneeds to solve the realization of element of the best approximation. This paperdiscusses the character of element of the best polynomial approximation in Or-licz space, gives a necessary and sufficient condition and test criterion for ele-ment of the best polynomial approximation, so the paper may find one path forthe realization of element of the best approximation in Orlicz space.