On Polynomial Maximum Entropy Method for Classical Moment Problem

DOI10.4208/aamm.2014.m504zbMath1490.41011OpenAlexW2466682181MaRDI QIDQ5153643

Chenhua Zhang, Jiu Ding, Noah H. Rhee

Publication date: 30 September 2021

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/aamm.2014.m504

zbMATH Keywords

Chebyshev polynomialsmonomialsLegendre polynomialsclassical moment problem

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical solutions to equations with linear operators (65J10) Approximation by operators (in particular, by integral operators) (41A35)

Cites Work

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• Information Theory and Statistical Mechanics
• Maximum entropy approximation for Lyapunov exponents of chaotic maps
• Birkhoff's ergodic theorem and the piecewise-constant maximum entropy method for Frobenius–Perron operators
• A Maximum Entropy Method Based on Orthogonal Polynomials for Frobenius-Perron Operators
• Statistical Properties of Deterministic Systems

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