A note on approximating finite Hilbert transform and quadrature formula (Q2325714)
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scientific article
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| English | A note on approximating finite Hilbert transform and quadrature formula |
scientific article |
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A note on approximating finite Hilbert transform and quadrature formula (English)
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27 September 2019
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A numerical integration scheme (in other words, a quadrature rule, such as Newton-Cotes or Gauß-quadrature, for example) is used to compute finite so-called Hilbert transforms. For this purpose, in this paper a finite sum as an approximation to the integral is provided and a remainder estimate is given for this approximation. Some numerical examples are given at the end of the article.
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finite Hilbert transform
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CPV (Cauchy principal value)
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absolutely continuous mappings
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