Exact Values of N-Widths and Optimal Quadratures on Classes of Bounded Analytic and Harmonic Functions Original Research Article

In this paper we find some exact values of n-widths in the integral metric with the Chebyshev weight function for the classes of functions that are bounded and analytic or harmonic in the interior of the ellipse with foci ± 1 and sum of semiaxes c. We also construct optimal quadrature formulas for these classes.