✦ LIBER ✦

Optimal Recovery of the Derivative of Periodic Analytic Functions from Hardy Classes

✍ Scribed by Konstantin Yu Osipenko

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 122 KB
Volume: 97
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.1997.3269

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✦ Synopsis

Let S ; :=[z # C: |Im z|<;]. For 2?-periodic functions which are analytic in S ; with p-integrable boundary values, we construct an optimal method of recovery of f $(!), ! # S ; , using information about the values f (x 1 ), ..., f (x n ), x j # [0, 2?).

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