Papers by Samandar Babaev
Calcolo, Jun 28, 2019
In the present paper we investigate the problem of construction of the optimal interpolation form... more In the present paper we investigate the problem of construction of the optimal interpolation formulas in the space W (m,m-1) 2 (0, 1). We find the norm of the error functional which gives the upper bound for the error of the interpolation formulas in the space W (m,m-1) 2 (0, 1). Further we get the system of linear equations for coefficients of the optimal interpolation formulas. Using the discrete analogue of the differential operator d 2m dx 2m -d 2m-2 dx 2m-2 and its properties we find explicit formulas for the coefficients of the optimal interpolation formulas. Finally, we give some numerical results which the confirm theoretical results of the paper.
Find the coefficients Сβ(z) of optimal interpolation formulas in W2(2,1)(0,1) space
Молодой ученый, 2016
Construction of optimal interpolation formulas in W [2]^{2,1}(0,1) space
Молодой ученый, 2016
arXiv (Cornell University), Apr 6, 2020
The paper is devoted to construction of an optimal interpolation formula in K2(P2) Hilbert space.... more The paper is devoted to construction of an optimal interpolation formula in K2(P2) Hilbert space. Here the interpolation formula consists of a linear combination N β=0 C β (z)ϕ(x β ) of given values of a function ϕ from the space K2(P2). The difference between functions and the interpolation formula is considered as a linear functional called the error functional. The error of the interpolation formula is estimated by the norm of the error functional. We obtain the optimal interpolation formula by minimizing the norm of the error functional by coefficients C β (z) of the interpolation formula. The obtained optimal interpolation formula is exact for trigonometric functions sin ωx and cos ωx. At the end of the paper we give some numerical results which confirm our theoretical results.
arXiv (Cornell University), Feb 2, 2018
In the present paper optimal interpolation formulas are constructed in W (m,m−1) 2 (0, 1) space. ... more In the present paper optimal interpolation formulas are constructed in W (m,m−1) 2 (0, 1) space. Explicit formulas for coefficients of optimal interpolation formulas are obtained. Some numerical results are presented.
HAL (Le Centre pour la Communication Scientifique Directe), Sep 15, 2020
Iskanadjiev I. M. Tugallanishi fiksirlangan nochiziqli differentsial o'yinlardagi Pontryagin quyi... more Iskanadjiev I. M. Tugallanishi fiksirlangan nochiziqli differentsial o'yinlardagi Pontryagin quyi operatori haqida ……………………………………………………………..………………………………………………..……...... 13 Rasulov T. H., Bahronov B. I. Frisrixs modeli sonli tasvirining tuzilishi: rangi ikkiga teng qo'zg'alishli 1 o'lchamli hol ……………………………………………………………………………….
The error functional of optimal interpolation formulas in W2,σ(2,1) space
NOVEL TRENDS IN RHEOLOGY IX
Optimal interpolation formulas exact for trigonometric functions
NOVEL TRENDS IN RHEOLOGY IX
INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020
In the present paper the optimal quadrature formulas in the sense of Sard are constructed for num... more In the present paper the optimal quadrature formulas in the sense of Sard are constructed for numerical integration of the integral b a e 2πiωx ϕ(x)dx with ω ∈ R in the Hilbert space W (2,1) 2 [a, b] of complex-valued functions. Furthermore, the explicit expressions for coefficients of the constructed optimal quadrature formulas are obtained. At the end of the paper some numerical results are presented.
ArXiv, 2021
Babaev S. S., Hayotov A.R., Khayriev U.N. s.s.boboev@buxdu.uz; hayotov@mail.ru; u.n@xayriev@buxdu... more Babaev S. S., Hayotov A.R., Khayriev U.N. s.s.boboev@buxdu.uz; hayotov@mail.ru; u.n@xayriev@buxdu.uz 1 Bukhara State University, 11, M.Ikbol str., Bukhara 200114, Uzbekistan; 2 V.I.Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences,81, M.Ulugbek str., Tashkent 100170, Uzbekistan; 3 National University of Uzbekistan named after Mirzo Ulugbek, 4, University str., Tashkent 100174, Uzbekistan
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Papers by Samandar Babaev