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Registration Number

0225U003927, (0120U103613) , R & D reports

Title

Approximation problems on the classes of Stepanets differentianion functions

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Апроксимаційні задачі на класах диференційовних за Степанцем функцій

Head

Sorich Victor A.,

Registration Date

13-09-2025

Organization

Kamianets-Podilskyi Ivan Ohiienko National University

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The problem is to select the main term for the value of the approximation and joint approximation of the classes of differential functions and to indicate the order of the residual term in the asymptotic decomposition on the order of the approximative trigonometric polinomials.

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 The work is devoted to the study of classical extremal problems of approximation theory on classes of periodic functions defined by means of convolutions with fixed generating kernels. The results of the work and the methods and techniques proposed in it can be used by students in studying various issues of mathematical analyses, the theory of approximation of functions, the theory of summation of Fourier series, in solving some extremal problems, etc. A number of the results obtained in the work can find practical application in computational mathematics as well as in solving problems that arise when modeling physical, mechanical, economic and social processes. The result of the work can be used in study of extreme problems, which are carried out at the Institute of Mathematics NAS of Ukraine, the Institute of Applied Mathematics and Mechanics of NAS Ukraine, Kamianets-Podilskyi, Kyiv, Dnipropetrovsk, Odessa, Volyn, and Slaviansk universities, and will contribute to the further development of research in the field of approximation theory.

Product Description

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2025-09-13