一类线性正算子对多元函数的点态逼近度  

ON THE RATE OF CONVERGENCE OF MULTIVARIATE INTERPOLAT1ON OF FUNCTIONOF B-BOUNDED VARIATION

作　　者：罗元 

机构地区：[1]湖北省孝感师范专科学校

出　　处：《数学杂志》1994年第2期268-271,共4页Journal of Mathematics

摘　　要：本文将所谓的ＳＢＫ算子推广为更为一般的多项式算子，研究了它对所谓Ｂ－有界变差的多元函数的点态逼近，改进并推广了文［６］和文［７］的结果。In this paper, following results have been obtained:Theorem Let fbe of B-bounded variation on[0,1]￣2an be the B-total variation on[0,1]￣2 and be the B-total variation of g on[a,b]×[c, d]. Then for every(x,y)∈(0,1)￣2andIt is easy to see that the theorem 2 in[7]] have been improved as follows :Let f be of bounded vartiation on[0,1] and be the total variation of g_x on:[a,b]. Then forevery x∈(0,1) and x>max{

关 键 词：多元函数 点态逼近 线性算子 

分 类 号：O174.41[理学—数学]