On approximation of continuous functions by entire functions on subsets of the real line
Complex Variables
2008-03-11 v1
Abstract
We generalize the classical Bernstein theorem concerning the constructive description of classes of functions uniformly continuous on the real line. The approximation of continuous bounded functions by entire functions of exponential type on unbounded closed proper subsets of the real line is studded.
Keywords
Cite
@article{arxiv.0803.1260,
title = {On approximation of continuous functions by entire functions on subsets of the real line},
author = {Vladimir Andrievskii},
journal= {arXiv preprint arXiv:0803.1260},
year = {2008}
}