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Necessary and Sufficient Conditions for Mean Convergence of Lagrange Interpolation for Erdős Weights

Necessary and Sufficient Conditions for Mean Convergence of Lagrange Interpolation for Erdős Weights

Abstract We investigate mean convergence of Lagrange interpolation at the zeros of orthogonal polynomials p n ( W 2 , x ) for Erdös weights W 2 = e -2 Q . The archetypal example is W k,α = exp(— Q k,α ), where α > 1, k ≥ 1, …