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JOINT APPROXIMATION OF A FUNCTION AND ITS INTERMEDIATE DERIVATIVES BY PARTIAL SUMS OF THE FOURIER-CHEBYSHEV SERIES IN L2,μ
| Файл | Ном | Сабт карда шуд |
|---|---|---|
 2-Тухлиев Камаридин | JOINT APPROXIMATION OF A FUNCTION AND ITS INTERMEDIATE DERIVATIVES BY PARTIAL SUMS OF THE FOURIER-CHEBYSHEV SERIES IN L2,μ | 41 |
Authors:Tukhliev Kamaridin - Doctor of Physical and Mathematical Sciences, Professor of the Department of Informatics and Computational Mathematics, Tuychiev Anvarzhon Makhmudzhonovich - Teacher of the Department of Algebra and Geometry, Khujand State University named after academician B.G.Gafurov (Tajikistan Republic, Khujand)
JOURNAL NUMBER: 4(67). YEAR OF ISSUE: 2023.LANGUAGE OF THE ARTICLE: Russian
ANNOTATION
The exact values of the upper bound of the best polynomial joint approximations of functions and their intermediate derivatives by the Fourier-Chebyshev sums and their corresponding derivatives in the Hilbert space with the Chebyshev weight .
KEY WORDS
generalized shift operator, m-th order modulus of continuity, joint approximations, Fourier-Chebyshev series, differential operator.