Numerical solution of the finite moment problem in a reproducing kernel Hilbert space

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摘要

In this work we present a method for evaluating the normal solution of the finite moment problem in the hypothesis that the solution satisfies two linear boundary conditions and the moments are noisy. Numerical results are presented to illustrate the stability and obtainable accuracy of the method.

论文关键词:Integral equation of the first kind,reproducing kernel Hilbert space,regularization,orthogonal polynomials

论文评审过程:Received 10 April 1989, Revised 30 July 1990, Available online 20 July 2006.

论文官网地址:https://doi.org/10.1016/S0377-0427(05)80001-9