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Information × Registration Number 0212U000658, 0111U007125 , R & D reports Title Modern investigation methods of nonlinear approximative characteristics of some functional compact sets. popup.stage_title Head Shidlich Andriy Lyubomyrovych, Доктор фізико-математичних наук Registration Date 12-03-2012 Organization Institute of mathematics NAS of Ukraine popup.description2 The main direction of research project are important questions of approximation theory of functions defined on the real axis. This theory was developed by S.N. Bershteyn, N.I.Ahiyezer, M.H.Kreyn, S.M.Nikolskyy, A.I.Stepanets. In this direction, the following results were obtained: we obtained order estimates of the best n-term approximations in the spaces Lp (Td) of classes of periodic functions; we obtained asymptotic behavior of best uniform approximation by polynomial of the classes of Poisson integrals of continuous 2pi-periodic functions whose modulus of continuity not exceed a given convex majorant Product Description popup.authors Соколенко Ігор Володимирович popup.nrat_date 2020-04-02 Close