论文标题

紧凑型功能和所有衍生物的近似

Approximation on compact sets of functions and all derivatives

论文作者

Armeniakos, Sotiris, Kotsovolis, Giorgos, Nestoridis, Vassili

论文摘要

在Mergelyan类型近似中,我们通过多项式函数或有理函数或有理形态函数在包含K的不同开放集上均匀地近似函数K。在本文中,我们考虑的类似近似值,其中k上的均匀收敛被所有顺序衍生物的k均匀近似所代替。

In Mergelyan type approximation we uniformly approximate functions on compact sets K by polynomials or rational functions or holomorphic functions on varying open sets containing K. In the present paper we consider analogous approximation, where uniform convergence on K is replaced by uniform approximation on K of all order derivatives.

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