A multi-dimensional Hausdorff moment problems regularization by finite moments

DOI10.4171/ZAA/866zbMath0921.65089OpenAlexW2086588437MaRDI QIDQ1284520

Dang Dinh Ang, Rudolf Gorenflo, Dang Duc Trong

Publication date: 29 September 1999

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48241

zbMATH Keywords

error estimatesregularizationorthogonalizationmulti-dimensional Hausdorff moment problems

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 (10)

Tikhonov type regularization method for the Cauchy problem of the modified Helmholtz equation ⋮ An orthonormal basis functions method for moment problems. ⋮ Numerical Computation of a Cauchy Problem for Laplace's Equation ⋮ Numerical Computation of a Cauchy Problem for Laplace's Equation ⋮ Reconstruction of convex bodies from moments ⋮ Laguerre polynomials and the inverse Laplace transform using discrete data ⋮ Modified Tikhonov regularization method for the Cauchy problem of the Helmholtz equation ⋮ A Hausdorff‐like moment problem and the inversion of the Laplace transform ⋮ A multi-dimensional Hausdorff moment problems regularization by finite moments ⋮ Professor Rudolf Gorenflo and his contribution to fractional calculus

Cites Work

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• Hausdorff's moment problem and expansions in Legendre polynomials
• A multi-dimensional Hausdorff moment problems regularization by finite moments
• The Backus-Gilbert method

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