Optimal Recovery of the Derivative of Periodic Analytic Functions from Hardy Classes |
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Authors: | Konstantin Yu Osipenko |
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Institution: | Department of Mathematics, MATI—Russian State University of Technology, Petrovka 27, Moscow, 103767, Russia |
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Abstract: | LetSβ {z![set membership, variant set membership, variant](http://www.sciencedirect.com/scidirimg/entities/2208.gif)
: |Im z|<β}. For 2π-periodic functions which are analytic inSβwithp-integrable boundary values, we construct an optimal method of recovery off′(ξ), ξ Sβ, using information about the valuesf(x1), mldr;, f(xn), xj 0, 2π). |
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