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Approximation of the solution to the moment problem in a hilbert space

Approximation of the solution to the moment problem in a hilbert space

Abstract In this paper we obtain a construction of the solution to a moment problem. We use our results to derive a truncation error for sine-interpolation, which generalizes the error bounds in the literature to the case of nonuniform sampling. Keywords: 1980 Mathematics Subject Classification: 40A991980 Mathematics Subject Classification: 40A601980 …