On the Convergence of Moment Problems
From MaRDI portal
Publication:3971325
DOI10.2307/2001670zbMath0741.41021OpenAlexW4240244490MaRDI QIDQ3971325
Jonathan M. Borwein, Adrian S. Lewis
Publication date: 25 June 1992
Full work available at URL: https://doi.org/10.2307/2001670
Convex programming (90C25) Semi-infinite programming (90C34) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46) Trigonometric moment problems in one variable harmonic analysis (42A70)
Related Items
Solving Fredholm integral equations via a piecewise linear maximum entropy method ⋮ A maximum entropy method for solving the boundary value problem of second order ordinary differential equations ⋮ Dynamical conditions for convergence of a maximum entropy method for Frobenius-Perron operator equations ⋮ A Piecewise Linear Maximum Entropy Method for Invariant Measures of Random Maps with Position-Dependent Probabilities ⋮ The maximum entropy method applied to stationary density computation ⋮ Uniform convergence for moment problems with Fermi-Dirac type entropies ⋮ Eigenvalues in the large sieve inequality. II ⋮ Approximating solutions of Fredholm integral equations via a general spline maximum entropy method ⋮ Solving linear Volterra integral equations with a piecewise linear maximum entropy method ⋮ A maximum entropy method based on piecewise linear functions for the recovery of a stationary density of interval mappings ⋮ Minimization of entropy functionals ⋮ Birkhoff's ergodic theorem and the piecewise-constant maximum entropy method for Frobenius–Perron operators ⋮ The convergence of entropy-based approximations for moment problems ⋮ Conditioning moments of singular measures for entropy optimization. I ⋮ The truncated K-moment problem for closure of open sets ⋮ Mean squared error minimization for inverse moment problems ⋮ A piecewise quadratic maximum entropy method for the statistical study of chaos ⋮ Heuristic solutions to polynomial moment problems with some convex entropic objectives ⋮ A Maximum-Entropy Meshfree Method for Computation of Invariant Measures ⋮ A maximum entropy method for solving Frobenius-Perron operator equations ⋮ An inverse entropy optimization problem for matrix-valued carathéodory functions ⋮ On the failure of maximum entropy reconstruction for Fredholm equations and other infinite systems
Cites Work
- Constrained interpolation and smoothing
- Integrals which are convex functionals
- Spectral estimation for sensor arrays
- $L_2 $ Spectral Estimation
- A Dual Approach to Multidimensional $L_p$ Spectral Estimation Problems
- Duality Relationships for Entropy-Like Minimization Problems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item