## On the Developments of Real Analysis and Computational Mathematics in Astana

- April 21, 2006
- 2:30 p.m.
- LeConte 312

## Abstract

A review of the results will be presented:

- Direct and converse theorems of approximation theory in different metrics.
- Imbedding theorems for functional classes with the modulus of continuity of a variable increment.
- Quadrature formulas and the functional recovery operators: applications of theory of divisors, and the method of tensor products of functionals.
- Computational diameters: informative power of the set of linear functionals and the asymptotic error estimates in optimal recovery of fuzzy information