#### Surveys in Approximation Theory, 2 (2006), 1-52.

## Constructive Function Theory on Sets of the Complex Plane through Potential Theory and Geometric Function Theory

### V. V. Andrievskii

**Abstract**. 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 application of methods and techniques of modern geometric function theory and potential theory.

**E-print:** `arXiv:0601680`

Published: 20 January 2006.

- PDF file (416 KB)

V. V. Andrievskii

Department of Mathematical Sciences

Kent State University

Kent, OH 44242

U. S. A.

E-mail: andriyev@math.kent.edu