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Optimal recovery of the Sobolev-Wiener class of smooth functions by double sampling

✍ Scribed by Yongsheng Sun; Yongping Liu


Publisher
Springer
Year
1993
Tongue
English
Weight
536 KB
Volume
9
Category
Article
ISSN
0176-4276

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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?).