R. R. Akopian, “Optimal recovery of an analytic function in a doubly connected domain from its approximately given boundary values”, Trudy Inst. Mat. i Mekh. UrO RAN, 2015, Volume 21, Number 4,Pages <nobr>14

This article is cited in 3 papers

Optimal recovery of an analytic function in a doubly connected domain from its approximately given boundary values

R. R. Akopian^ab

^a Ozersk Technology Institute
^b Institute of Mathematics and Computer Science, Ural Federal University, Ekaterinburg

Abstract: We study the problem of optimal recovery of a function analytic in a doubly connected domain from its approximately given values on one of the two components of the boundary. An optimal recovery method is obtained in the case when the error is an integer power of the modulus of the domain.

Keywords: optimal recovery, analytic functions, doubly connected domain.

UDC: 517.5

Received: 15.02.2015