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Information × Registration Number 0212U008003, 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 When performing work on the subject were studied the behavior of the value of best approximation for analogs of Besov classes with logarithmic smoothness, and were analyzed the values of the best m-term trigonometric approximation, bilinear approximation and greedy-approximation of anisotropic Nikol'skii-Besov classes. As a result of the studies obtained the following results. The exact order estimates of best approximation of periodic functions from analogues of Besov classes with logarithmic smoothness are obtained. Weak asymptotic behavior of best m-term trigonometric approximation, bilinear approximation and greedy-approximation for periodic functions of several variables from anisotropic Nikol'skii-Besov classes are found. Product Description popup.authors popup.nrat_date 2020-04-02 Close