Approximation of functions and all derivatives on compact sets.

Autor: Armeniakos, Sotiris, Kotsovolis, Giorgos, Nestoridis, Vassili
Zdroj: Monatshefte für Mathematik; Jan2022, Vol. 197 Issue 1, p137-148, 12p
Abstrakt: 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index