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

DOI10.1016/0377-0427(90)90049-6zbMath0713.65092OpenAlexW4243714097MaRDI QIDQ750118

Sebastiano Seatzu, Giuseppe Rodriguez

Publication date: 1990

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(90)90049-6

zbMATH Keywords

normal solutionreproducing kernel Hilbert spacefinite moment problem

Mathematics Subject Classification ID

Numerical methods for integral transforms (65R10) Moment problems (44A60)

Related Items

A fast algorithm for generalized Hankel matrices arising in finite-moment problems, Regularized minimal-norm solution of an overdetermined system of first kind integral equations, Regularization method for the generalized moment problem in a functional reproducing kernel Hilbert space, On the solution of the finite moment problem, Orthogonal splines based on \(B\)-splines -- with applications to least squares, smoothing and regularisation problems, Optimal estimation of linear operators from inaccurate data: A second look, Approximation methods for the finite moment problem

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hausdorff's moment problem and expansions in Legendre polynomials
• 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
• Introduction to general theory of reproducing kernels
• Recovering a function from a finite number of moments
• Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter
• Practical Approximate Solutions to Linear Operator Equations When the Data are Noisy
• Some Comments on C P
• Theory of Reproducing Kernels