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math.CV2008
On approximation of continuous functions by entire functions on subsets of the real line
Vladimir Andrievskii
We generalize the classical Bernstein theorem concerning the constructive description of classes of functions uniformly continuous on the real line. The approximation of continuous…
math.CV2006★ 1 cited
Positive Harmonic Functions on Denjoy Domains in the Complex Plane
Vladimir Andrievskii
Let $\Om$ be a domain in the complex plane $\C$ whose complement $E=\OC\setminus \Om$, where $\OC=\C\cup\{\infty\}$ is a subset of the real line (i.e. $\Om$ is a Denjoy domain). If…
math.CV2006★ 11 cited
Constructive Function Theory on Sets of the Complex Plane through Potential Theory and Geometric Function Theory
Vladimir Andrievskii
This is a survey of some recent results concerning polynomial inequalities and polynomial approximation of functions in the complex plane. The results are achieved by the applicati…