Approximating the finite Hilbert transform via trapezoid type inequalities (Q1609069)
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scientific article; zbMATH DE number 1781482
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximating the finite Hilbert transform via trapezoid type inequalities |
scientific article; zbMATH DE number 1781482 |
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Approximating the finite Hilbert transform via trapezoid type inequalities (English)
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15 August 2002
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Some approximations for finite Hilbert integral transforms are proved analytically and verified numerically. Two basic cases are considered: the transform domain consists of functions with absolutely continuous derivatives or of functions with absolutely continuous second derivatives. Some additional error bounds are also justified.
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finite Hilbert transform
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approximations
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error bounds
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0.94309264
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0.9284732
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0.92721874
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0.9256717
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0.92512184
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0.9134886
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