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Approximation of the Singularities of a Bounded Function by the Partial Sums of Its Differentiated Fourier Series

✍ Scribed by George Kvernadze

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 157 KB
Volume: 11
Category: Article
ISSN: 1063-5203
DOI: 10.1006/acha.2001.0362

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✦ Synopsis

In our earlier work we developed an algorithm for approximating the locations of discontinuities and the magnitudes of jumps of a bounded function by means of its truncated Fourier series. The algorithm is based on some asymptotic expansion formulas. In the present paper we give proofs for those formulas.

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