BESOV SPACES AND K-FUNCTIONALS IN L_p, 0

BESOV SPACES AND K-FUNCTIONALS IN L_p, 0 我的收藏 名 称： 注 释：

作　　者：李松 吴正昌 马柏林 

出　　处：《Acta Mathematicae Applicatae Sinica》2000年第3期258-265,共8页应用数学学报（英文版）

基　　金：This project is supported by the National Natural Science Foundation of China.

摘　　要：We investigate Besov spaces and their connection with trigonometric polynomial approximation in L_p[－π,π], algebraic polynomial approximation in L_p[-1,1], algebraic polynomial approximation in L_p(S), and entire function of exponential type approximation in Lp(R), and characterize K-functionals for certain pairs of function spaces including (Lp [-π,π], B_s~α (Lp[-π，π])), (L_p(R),B_s~α (Lp(R))), (Lp[-1,1],B_s~α (Lp[-1,1])), and (Lp(S),B_s~α (Lp(S))), where 0<s<, 0<p<1, S is a simple polytope and 0<α<r.We investigate Besov spaces and their connection with trigonometric polynomial approximation in L_p[－π,π], algebraic polynomial approximation in L_p[-1,1], algebraic polynomial approximation in L_p(S), and entire function of exponential type approximation in Lp(R), and characterize K-functionals for certain pairs of function spaces including (Lp [-π,π], B_s~α (Lp[-π，π])), (L_p(R),B_s~α (Lp(R))), (Lp[-1,1],B_s~α (Lp[-1,1])), and (Lp(S),B_s~α (Lp(S))), where 0<s<, 0<p<1, S is a simple polytope and 0<α<r.

关 键 词：Besov space K-FUNCTIONAL Lp space (0 

分 类 号：O177[理学—数学]