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On the class of saturation in strong approximation by partial sums of Fourier series

✍ Scribed by G. Sunouchi

Publisher: Akadmiai Kiad
Year: 1994
Tongue: English
Weight: 196 KB
Volume: 63
Category: Article
ISSN: 1588-2632
DOI: 10.1007/bf01874457

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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 for