Landau多项式算子与无界函数逼近  

Landau polynomial operators and approximation of unbounded functions

作　　者：郑成德[1] 

机构地区：[1]大连铁道学院数学教研室,辽宁大连116028

出　　处：《烟台师范学院学报（自然科学版）》2000年第3期161-164,共4页Yantai Teachers University journal(Natural Science Edition)

摘　　要：利用扩展乘数法构造了 Landau型多项式算子逼近全空间或有界集上无界函数的若干收敛定理 ,给出了具有一般性的结论 ,从而推广了已有文献的若干结果 .Based on the method of multiplier enlargement,many convergence theorems of Landau polynomial operators are constructed to approximate any unbounded functions defined on whole space or bounded sets,and general conclusions are given.Thereby many important results of some known references are generalized.

关 键 词：Landau多项式算子 无界函数逼近 线性正算子 

分 类 号：O174.41[理学—数学]