Discrepancy of Signed Measures and Polynomial Approximation

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The book delves into approximation theory, focusing on the significance of point distribution in various mathematical contexts. It highlights the importance of interpolation points for estimating polynomial convergence and examines the role of orthogonal polynomial zeros in Gauss quadrature. Key historical results are discussed, including Jentzsch's theorem on the limit points of zeros of power series partial sums and Bernstein's findings on the relationship between zeros of best approximating polynomials and the analytic properties of functions.