Abstract
Let S β ≔{ z∈ C : |Im z|< β}. For 2 π-periodic functions which are analytic in S β with p-integrable boundary values, we construct an optimal method of recovery of f′( ξ), ξ∈ S β , using information about the values f( x 1), mldr;, f( x n ), x j ∈[0, 2 π).
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