ETD Collection

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    Weighted approximation for Erdos weight
    (1995) Damelin, Steven Benjamin
    We investigate Mean Convergence of Lagrange Interpolation and Rates of Approximation for Erdo's Weights on the Real line. An Erdos Weight is of the form, W = exp[-Q], where typically Q is even, continous and is of faster than polynomial growth at infinity. Concerning Lagrange Interpolation, we first investigate the problem of formulating and proving the correct Jackson Theorems for Erdos Weights. [ Abbreviated abstract : Open document to view full version]