摘要
本文在SL(2,R)上引入距离、光滑模、导数等概念,给出了SL(2,R)上的连续函数用Tn和Bσ,n逼近的Jackson型正定理,得到了SL(2,R)上函数的光滑性和最佳逼近阶之间的关系.
In this paper, we introduce the concepts of distance, modulus of smoothness and derivative on SL(2,R). Hence we arrive at the direct approximation theorems of Jackson type on SL(2, R) by function classes Tn and Bσ,n respectively, and obtain the relation between the smoothness and the best approximations on SL(2,R).
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2003年第3期545-554,共10页
Acta Mathematica Sinica：Chinese Series
