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Information × Registration Number 0212U008002, 0111U007042 , R & D reports Title Best approximations of classes of functions of several variables. popup.stage_title Head Stasyuk Sergiy Andriyovych, Кандидат фізико-математичних наук Registration Date 06-08-2012 Organization Institute of mathematics NAS of Ukraine popup.description2 Implementation of work on the subject related to the installation of weak asymptotic behavior (exact order estimates) of some approximative characteristics that reflect the best m-term approximation of functions of several variables of Nikol'skii-Besov classes (and their analogues) in the case of small smoothness. As a result of the studies obtained the following results. Exact order estimates of the best m-term trigonometric approximation of Nikol'skii-Besov classes in the case of small smoothness are found. Weak asymptotic behavior of the best approximation for periodic functions of several variables from analogs of Nikol'skii-Besov classes (mixed smoothness) are obtained. Exact order estimates of approximation by step hyperbolic sums of Fourier-Haar, and the best m-term polynomial approximation by Haar system for functions from analogs of Besov classes (mixed smoothness) are found. Product Description popup.authors popup.nrat_date 2020-04-02 Close