On approximation of continuous functions by entire functions on subsets of the real line

Details On approximation of continuous functions by entire functions on subsets of the real line On approximation of continuous functions by entire functions on subsets of the real line

2008-03-08

arxiv.org/abs/0803.1260v1

Mathematics

Complex Variables

Scientific paper

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.

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