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Optimal recovery of isotropic classes of twice-differentiable multivariate functions

✍ Scribed by Vladislav F. Babenko; Sergiy V. Borodachov; Dmytro S. Skorokhodov


Book ID
108163825
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
284 KB
Volume
26
Category
Article
ISSN
0885-064X

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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?).