Approximation on compact sets of functions and all derivatives

Sotiris Armeniakos; Giorgos Kotsovolis; Vassili Nestoridis

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arXiv · 2006.02389

Approximation on compact sets of functions and all derivatives

Sotiris Armeniakos·Giorgos Kotsovolis·Vassili Nestoridis

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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.

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Sotiris Armeniakos, Giorgos Kotsovolis, Vassili Nestoridis. 2020-06-03. Approximation on compact sets of functions and all derivatives. https://arxiv.org/abs/2006.02389

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