Topics in Approximation Theory

Best uniform approximation.- The interpolation formula and Gaussian quadrature.- Best approximation and extremal problems in other norms.- Applications of the Hahn-Banach theorem and dual extremal problems.- Approximation theory and extremal problems in Hilbert spaces.- Minimal extrapolation of Fourier transforms.- General aspects of "Degree of approximation".- Approximation theory in homogeneous Banach spaces.