Approximation of nonnegative functions by means of exponentiated trigonometric polynomials (Q1602782)
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scientific article; zbMATH DE number 1758434
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation of nonnegative functions by means of exponentiated trigonometric polynomials |
scientific article; zbMATH DE number 1758434 |
Statements
Approximation of nonnegative functions by means of exponentiated trigonometric polynomials (English)
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24 June 2002
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The author extends work by \textit{J. M. Borwein} and \textit{W. Z. Huang} [SIAM J. Optim. 5, No.~1, 68-99 (1995; Zbl 0820.49016)] on the construction of a trigonometric or algebraic polynomial whose exponential approximates the given function. This is done by means of a Toeplitz matrix. Convergence conditions are given and an error analysis is carried out. It is shown that the Borwein-Huang method enables an improvement in best entropy approximates.
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nonnegative functions
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exponentiated trigonometric polynomials
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Fourier series
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trigonometric approximation
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convergence
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Toeplitz matrix
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error analysis
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best entropy approximates
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0.9276327
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0.9188721
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0.9179517
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0.91682297
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0.9141369
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0.91352326
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