Approximation methods for the finite moment problem

DOI10.1007/BF02109420zbMath0804.65135MaRDI QIDQ1315219

Giuseppe Rodriguez, Sebastiano Seatzu

Publication date: 24 February 1994

Published in: Numerical Algorithms (Search for Journal in Brave)

zbMATH Keywords

Sobolev spacesregularizationnoisy dataill-posed problemtest problemsorthogonal functionsefficient algorithmexact datafinite Hausdorff moment problem

Mathematics Subject Classification ID

Numerical methods for integral transforms (65R10) Moment problems (44A60) Numerical methods for ill-posed problems for integral equations (65R30)

Related Items

Regularization method for the generalized moment problem in a functional reproducing kernel Hilbert space, Optimal estimation of linear operators from inaccurate data: A second look

Uses Software

• Matlab

Cites Work

• Numerical solution of the finite moment problem in a reproducing kernel Hilbert space
• Hausdorff's moment problem and expansions in Legendre polynomials
• On the solution of the finite moment problem
• Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross-validation
• Remarks concerning a numerical inversion of the Laplace transform due to Bellman, Kalaba, and Lockett
• Recovering a function from a finite number of moments
• On the numerical inversion of the Laplace transform in reproducing kernel Hilbert spaces
• Solving linear least squares problems by Gram-Schmidt orthogonalization
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item