Geodesic
Optimal recovery of functions analytical in a~half-plane
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 13 (2007) no. 2, pp. 3-12

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On the class of functions analytical and bounded in a half-plane with bounded derivative of order $n\ge0$, we solve problems of optimal recovery of values of a function and its derivatives of order $m\ge0$, using the restriction of the spectral function. We obtain appropriate exact inequalities for functions analytical in a half-plane. 
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     author = {R. R. Akopian},
     title = {Optimal recovery of functions analytical in a~half-plane},
     journal = {Trudy Instituta matematiki i mehaniki},
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R. R. Akopian. Optimal recovery of functions analytical in a~half-plane. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 13 (2007) no. 2, pp. 3-12. http://geodesic.mathdoc.fr/item/TIMM_2007_13_2_a0/