Geodesic
On optimal recovery of Dirichlet problem from a~boundary function known approximately
Vladikavkazskij matematičeskij žurnal, Tome 17 (2015) no. 1, pp. 3-13

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The problem of best (optimal) recovery of a solution of the Dirichlet problem for the upper half-plane from the Fourier transform of the boundary functions known approximately in considered. A series of optimal recovery methods are found and the corresponding errors recovery are calculated. 
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     author = {E. V. Abramova},
     title = {On optimal recovery of {Dirichlet} problem from a~boundary function known approximately},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {3--13},
     publisher = {mathdoc},
     volume = {17},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2015_17_1_a0/}
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E. V. Abramova. On optimal recovery of Dirichlet problem from a~boundary function known approximately. Vladikavkazskij matematičeskij žurnal, Tome 17 (2015) no. 1, pp. 3-13. http://geodesic.mathdoc.fr/item/VMJ_2015_17_1_a0/