@article{3023990, title = "Approximation of functions and all derivatives on compact sets", author = "Armeniakos, S. and Kotsovolis, G. and Nestoridis, V.", journal = "MONATSHEFTE FUR MATHEMATIK", year = "2022", volume = "197", number = "1", pages = "137-148", publisher = "Springer-Verlag", issn = "0026-9255", doi = "10.1007/s00605-021-01604-x", 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. © 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Austria, part of Springer Nature." }