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

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.