Approximation of nonnegative functions by means of exponentiated trigonometric polynomials

DOI10.1016/S0377-0427(01)00406-XzbMath1001.65147MaRDI QIDQ1602782

Dario Fasino

Publication date: 24 June 2002

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

zbMATH Keywords

convergenceerror analysisToeplitz matrixFourier seriestrigonometric approximationnonnegative functionsbest entropy approximatesexponentiated trigonometric polynomials

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Numerical methods for trigonometric approximation and interpolation (65T40)

Uses Software

• mctoolbox

Cites Work

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• Spectral properties of Toeplitz-plus-Hankel matrices
• Moment-matching and best entropy estimation
• The maximum entropy method
• Entropy optimization and mathematical programming
• On the extreme eigenvalues of Hermitian (block) Toeplitz matrices
• Heuristic solutions to polynomial moment problems with some convex entropic objectives
• On the extreme spectral properties of Toeplitz matrices generated by \(L^ 1\) functions with several minima/maxima
• Spectral properties of block multilevel Hankel matrices
• Convergence of Best Entropy Estimates
• A Fast Heuristic Method for Polynomial Moment Problems with Boltzmann–Shannon Entropy

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