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The optimal recovery of smooth functions

โœ Scribed by C. A. Micchelli; T. J. Rivlin; S. Winograd


Publisher
Springer-Verlag
Year
1976
Tongue
English
Weight
427 KB
Volume
26
Category
Article
ISSN
0029-599X

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Optimal Recovery of the Derivative of Pe
โœ Konstantin Yu Osipenko ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 122 KB

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?).