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

2008/03/08 by В. В. Андриевскии, Vladimir Andrievskii, Andrievskii, Vladimir
Mathematics · #Approximation Theory and Sequence Spaces #Mathematical functions and polynomials #Meromorphic and Entire Functions #math.CV #msc:30C10 #msc:30E10

paper · pdf · doi:10.48550/arxiv.0803.1260

arxiv created 2008/03/08 · arxiv updated 2009/12/01

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.

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