### 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.