Grwald插值多项式算子与无界函数逼近  

On Grwald interpolation 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：《纺织高校基础科学学报》2000年第3期229-232,共4页Basic Sciences Journal of Textile Universities

摘　　要：利用扩展乘数法建立了 Grunwald插值多项式算子逼近全实轴上任意无界连续函数的收敛性定理 ,给出了具有一般性的结论 ,从而推广了前人的若干重要命题 .By using of the method of multiplier- enlargem ent,many convergence theorems of Grunwald interpolation polynomial operators to approximate any unbounded functions defined on whole real axis were established,and general conclusions were given. Therefore,many important theorems of reference before were generalized.

关 键 词：线性正算子 插值多项式 无界函数逼近 扩展乘数 

分 类 号：O174.41[理学—数学]