关于某一重要函数类的n-K宽度的极子空间

The Optimal Subspace of the n-K Width of an Important Function Class

由微分算子和积分算子确定的函数类在分析学中往往被认为是重要函数类,本文研究了由高阶微分算子和N函数M(u)确定的r阶广义函数类Ω_M^r在L_1空间内n-K宽度的极子空间的问题,所得结果比起前人的同类结果具有一定的拓展意义.

The function classes determined by differential operators and integral operators are often considered to be important functions in the analysis. In this paper,the problem of the optimal subspace of the n-K width of r order generalized function class ΩMr in L1 space determined by higher order differential operator and N-function M(u) is studied. The results obtained are more significant than those obtained by predecessors.