Abstract
Given a positive bounded Borel measure μ on the interval [−1,1], we provide convergence results in L2μ-norm to a function f of its sequence of interpolating rational functions at the nodes of rational Gauss-type quadrature formulas associated with the measure μ. For this, we use the connection between rational Gauss-type quadrature formulas on [−1,1] and rational Szegő quadrature formulas associated with a positive symmetric Borel measure μ̊ on the complex unit circle.
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