Geodesic
Best approximation of the differentiation operator on the class of functions analytic in a strip
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 1, pp. 9-16 Cet article a éte moissonné depuis la source Math-Net.Ru

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On the class of functions analytic in a strip, we study a number of related extremal problems for the differentiation operator: the best approximation of the operator, computation of its modulus of continuity, and optimal recovery of the operator from boundary values of a function given with error on a straight line.
Keywords: approximation of operators, optimal recovery, analytic functions. 
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R. R. Akopyan. Best approximation of the differentiation operator on the class of functions analytic in a strip. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 20 (2014) no. 1, pp. 9-16. http://geodesic.mathdoc.fr/item/TIMM_2014_20_1_a1/

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