Liu Yongping.AVERAGE sigmaK WIDTH OF CLASS OF Lp(Rn) IN Lq(Rn)[J].Chinese Annals of Mathematics B,1995,16(3):351~360
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Authors：
Liu Yongping;
Abstract：
The average $\sz-K$ width of the Sobolev-Wiener class
$W^r_{pq}(\bold R^n)$ in $L_q(\bold R^n)$ is studied for $1\le q \le p \le
\infty,$ and the asymptotic behaviour of this quantity is determined. The exact
value of average $\sz-K$ width of some class of smooth functions in
$L_2(\bold R^n)$ is obtained.
