Approximation on compact sets of functions and all derivatives
Complex Variables
2020-06-04 v1 Classical Analysis and ODEs
Functional Analysis
Abstract
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.
Cite
@article{arxiv.2006.02389,
title = {Approximation on compact sets of functions and all derivatives},
author = {Sotiris Armeniakos and Giorgos Kotsovolis and Vassili Nestoridis},
journal= {arXiv preprint arXiv:2006.02389},
year = {2020}
}