MA6002 APPROMIMATION THEORY


Course Details

Approximation of Periodic Functions, Approximation by Algebraic Polynomials, Convergence of Bernstein Polynomials, Korovkin's Theorem, The Stone- Weierstrass Theorem
Approximation in Normed Linear Spaces, Linear Chebyshev Approximation of Vector - valued Functions, Uniqueness Results and Haar Subspaces.
Strong Uniqueness and Continuity of Metric Projection, Upper Semicontinuity of Metric Projections, Lower Continuity, Continuous Selections and Lipschitz Continuity of Metric Projections.

Course References:

Books:
1 N. Mhaskar and Devidas V.Pai , Fundamentals of Approximation Theory, Revised Edition Narosa , 2007.