- Series
- Analysis Seminar
- Time
- Wednesday, October 26, 2011 - 2:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Prof. Andras Kroo – Hungarian Academy of Sciences
- Organizer
- Doron Lubinsky
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By the classical Weierstrass theorem, any function continuous on a compact set can be uniformly approximated by algebraic polynomials. In this talk we shall discuss possible
extensions of this basic result of analysis to approximation by homogeneous algebraic polynomials on
central symmetric convex bodies.
We shall also consider a related question of approximating convex bodies
by convex algebraic level surfaces. It has been known for some time time that any
convex body can be approximated arbirarily well by convex algebraic level surfaces. We
shall present in this talk some new results specifying rate of convergence.