数学研究与评论
數學研究與評論
수학연구여평론
JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION
2000年
1期
43-50
,共8页
Multivariate Baskakov operators: Jacobi weights%weighted approximation%characterization
本文首先指出一类多元Baskakov算子在通常的加权范数下是无界的.然后给出了一类新的加权范数,在此范数下它是压缩的.最后利用多元分解技巧,解决了多元Baskakov算子加权逼近的特征刻划文问题.
本文首先指齣一類多元Baskakov算子在通常的加權範數下是無界的.然後給齣瞭一類新的加權範數,在此範數下它是壓縮的.最後利用多元分解技巧,解決瞭多元Baskakov算子加權逼近的特徵刻劃文問題.
본문수선지출일류다원Baskakov산자재통상적가권범수하시무계적.연후급출료일류신적가권범수,재차범수하타시압축적.최후이용다원분해기교,해결료다원Baskakov산자가권핍근적특정각화문문제.
In this paper, we shall point ont that the Multidimensional Baskakov operators are unbounded in (Cα,β: ‖w,f‖∞ ). Then we give a inverse theorems for multivariate Baskakov operators with Jacobi weights. A crucial tools in our approach is a decomposition technique and a new type weights norm and new K-function.
