Geodesic
Best approximation for the analytic continuation operator on the class of analytic functions in a ring
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 4, pp. 3-13 Cet article a éte moissonné depuis la source Math-Net.Ru

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For classes of functions analytic in a ring (a disk), we study several extremal problems related to the analytic continuation operator: the best approximation of an operator, an optimal reconstruction of an operator from boundary values of a function on the circle given with an error, and the best approximation of one class of functions by another class.
Keywords: approximation of operators, analytic functions. 
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R. R. Akopyan. Best approximation for the analytic continuation operator on the class of analytic functions in a ring. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 4, pp. 3-13. http://geodesic.mathdoc.fr/item/TIMM_2012_18_4_a0/

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