Wiener-Sobolev空间内的最佳逼近问题

PROBLEMS OF THE BEST APPROXIMATION IN WIENER-SOBOLEV SPACE

本文得到了函数f∈L_q(R)在L_(p·q)(1≤p≤q<+∞)尺度下借助于Cardinal样条的最佳逼近的对偶定理。同时得出了用线性集作为逼近集的最佳L_(p·q)逼近元的特征定理。

In this paper, the dual theorem of the best approximation of f∈L_2 (R) in metric L_(p.q) (1≤p≤q+∞) by cordinal spline is proved. And the characteris(?)s of the best approximate elements is discussed in metric L_(p.q), where the approximate class is a linear class.