IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

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:

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