- Series
- Analysis Seminar
- Time
- Tuesday, November 29, 2011 - 2:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Prof. Andras Kroo – Hungarian Academy of Sciences
- Organizer
- Doron Lubinsky
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 arbitrarily well
by convex algebraic level surfaces. We shall present in this talk some
new results specifying rate of convergence.