UNIVERSITY OF COLORADO AT DENVER

PLACE: Mathematics Conference Room 626 UCD Building, 1250 14th St., Denver

TIME: 2 pm (Refreshments served at 1:45 pm)

DATE: 29 June 1999

Approximation Theory (AT) and its Main Problems
               Melik A. Babayev

                   Content

1. Origins of AT
2. Formulation of the main problem of AT,  phase I:
Approximate a given function f by functions from a given set G of  "good"
functions. Define the best approximating function - extremum
element of G
3. Different approximation apparatus
4. Main problems of AT
a) Existence of the extremum element
b) Estimation for the best approximation
c) Methods of defining this estimation
d) On constructing the extremum element
e) Rate of convergence(approximation) to zero of the best approximation
f) Other problems
5.   Phases II and III of AT