用线性弱正算子逼近  

Approximation by Linear Weak Positive Operators

作　　者：曹家鼎[1] 

机构地区：[1]复旦大学数学系,上海200433

出　　处：《Journal of Mathematical Research and Exposition》2001年第1期129-134,共6页数学研究与评论（英文版）

摘　　要：用线性正算子的逼近理论飞速发展，但正性是一个较强的限制，孙永生，王仁宏等研究过减弱正性限制，作者研究用线性弱正算子逼近，推广 Ｋｏｒｏｖｋｉｎ定理和 Ｇｒｕｎｄｍａｎｎ定理等等．Approximation theory by linear positive operators had been developed at a high speed,but positivity is stronger restriction. Sun Yongsheng and Wang R. H. had researched reducing restriction of positivity, author researches approximation by linear weak positive operators, generalizes Korovkin Theorem and Grundmann Theorem etc.

关 键 词：弱正算子 逼近理论 线性正算子 KOROVKIN定理 GRUNDMANN定理 

分 类 号：O174.4[理学—数学]