Сивкова Е.~О. \Refs \ref\no 1 \by Magaril-Ilyaev~G.G. and Tikhomirov~V.M. \book Convex Analysis: Theory and Applications \publ Amer. Math. Soc. \publaddr Providence \yr 2003 \endref \ref\no 2 \by Stein~E. and Weiss~G. \book Introduction to Harmonic Analysis on Euclidean Spaces \publ Princeton University \publaddr Princeton \yr 1970 \finalinfo Princeton Mathematical Series; vol.~1 \endref \ref\no 3 \by Smolyak~S.A. \book On Optimal Recovery of Functions and Functionals over Them \lang Russian \bookinfo Extended Abstract of Cand. Sci. Dissertation \publaddr Moscow \publ Moscow University \yr 1965 \endref % Смоляк~С.~А. %Об оптимальном восстановлении функций и функционалов от них \ref\no 4 \by Micchelli~C.A. and Rivlin~T.J. \paper A survey of optimal recovery \inbook Optimal Estimation in Approximation Theory %(C.~A.~Micchelli, T.~J.~Rivlin, eds.) \publaddr New York \publ Plenum \yr 1977 \pages 1--54 \endref \ref\no 5 \by Melkman~A.A. and Micchelli~C.A. \paper Optimal estimation of linear operators in Hilbert spaces from inaccurate data \jour SIAM~J. Numer. Anal. \yr 1979 \vol 16 \issue 1 \pages 87--105 \endref \ref\no 6 \by Micchelli~C.A. and Rivlin~T.J. \paper Lectures on optimal recovery \inbook Lecture Notes in Mathematics; vol.~1129 \publaddr Berlin \publ Springer \yr 1985 \pages 21--93 \endref \ref\no 7 \by Traub~J.F. and Wo\'zniakowski~H. \book A~General Theory of Optimal Algorithms \publ Academic \publaddr New York \yr 1980 \endref \ref\no 8 \by Magaril-Ilyaev~G.G. and Osipenko~K.Yu. \paper Optimal recovery of functions and their derivatives from inaccurate information about the spectrum and inequalities for derivatives \jour Funct. Anal. Appl. \yr 2003 \vol 37 \issue 3 \pages 203--214 \endref \ref\no 9 \by Magaril-Ilyaev~G.G. and Osipenko~K.Yu. \paper Optimal recovery of the solution of the heat equation from inaccurate data \jour Sb. Math. \yr 2009 \vol 200 \issue 5 \pages 665--682 \endref \ref\no 10 \by Magaril-Ilyaev~G.G. and Osipenko~K.Yu. \paper On optimal harmonic synthesis from inaccurate spectral data \jour Funct. Anal. Appl. \yr 2010 \vol 44 \issue 3 \pages 223--225 \endref \ref\no 11 \by Magaril-Ilyaev~G.G. and Osipenko~K.Yu. \paper Optimal recovery of functions and their derivatives from inaccurate information about the spectrum and inequalities for derivatives \jour Funct. Anal. Appl. \yr 2003 \vol 37 \issue 3 \pages 203--214 %51--64 \endref %Магарил-Ильяев Г.~Г., Осипенко К.~Ю. % Оптимальное восстановление функций и их производных % по приближенной информации о спектре и неравенства для производных \ref\no 12 \by Magaril-Il'yaev~G.G. and Sivkova~E.O. \paper Optimal recovery of the semi-group operators from inaccurate data \jour Euras. Math.~J. \yr 2019 \vol 10 \issue 4 \pages 75--84 \endref %Магарил-Ильяев Г.~Г., Осипенко К.~Ю. Оптимальное восстановление решения %уравнения теплопроводности по неточным измерениям \ref\no 13 \by Abramova~E.V., Magaril-Il'yaev~G.G. and Sivkova~E.O. \paper Best recovery of the solution of the Dirichlet problem in a~half-space from inaccurate data \jour Comp. Math. Math. Phys. \yr 2020 \vol 60 \issue 10 \pages 1656--1665 \endref %Абрамова Е.~В., Магарил-Ильяев Г.~Г., Сивкова Е.~О. Наилучшее восстановление решения задачи %Дирихле для полупространства по неточным измерениям