Search academic texts

Information × Registration Number 0220U100851, 0117U002304 , R & D reports Title Extremal problems of approximation theory in function spaces popup.stage_title Head Kharkevych Yuri І., Кандидат фізико-математичних наук Registration Date 28-01-2020 Organization Lesya Ukrainka Eastern European National University popup.description2   We find exact orders of entropy numbers of classes of Sobolev and Nikolsky-Besov of periodic functions of many variables in uniform and integral metrics, find estimates of the order of entropy numbers of classes of periodic functions of type Nikolsky-Besov of many variables in } _ {p, \ theta} of periodic functions of many variables. The problem of constructing real function spaces from n + k variables, isometric spaces of real functions given on a n-dimensional Euclidean space was solved.The results obtained can be used to estimate the error in the reproduction of object images using the corresponding trigonometric polynomials applied in mathematical physics to find approximate solutions of boundary-value problems. At the same time, they can be effectively used in the compilation of mathematical models and the study of their behavior in the process of solving problems of optimal control of various complex mechanical, physical and economic processes, in the construction of numerical algorithms, as well as in the compression of information. Product Description popup.authors Abdullaiev Fakhreddyn H. Bushev Dmytro M. Hembarska Svitlana B. Hrabova Uliana Z. Zhyhallo Kostiantyn M. Zhyhallo Tetiana V. Kalchuk Inna V. Kovalchuk Ihor R. Piddubnyi Oleksii Mykhailovych Romaniuk Anatolii S. Serdiuk Anatolii S. Sobchuk Valentyn V. Fedunyk-Yaremchuk Oksana V. Kharkevych Yurii I. Shvai (Pozharska) Kateryna V. Shvai Olha L. popup.nrat_date 2020-04-02 Close