Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Kholmat M. Shadimetov"'
Publikováno v:
Results in Applied Mathematics, Vol 15, Iss , Pp 100276- (2022)
This article discusses the development of a new algorithm, which is based on optimal quadrature formulas for obtaining solutions to the generalized Abel integral equations. Based on the study, it was found that the proposed scheme is very effective,
Externí odkaz:
https://doaj.org/article/d2ebc1966ad347d0bd00848ba8b1965e
Autor:
Kholmat M. Shadimetov, Aziz K. Boltaev
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-16 (2020)
Abstract In the present paper, using the discrete analogue of the operator d 6 / d x 6 − 1 $\mathrm{d} ^{6}/\mathrm{d} x^{6}-1$ , we construct an interpolation spline that minimizes the quantity ∫ 0 1 ( φ ‴ ( x ) + φ ( x ) ) 2 d x $\int _{0}^
Externí odkaz:
https://doaj.org/article/2cb96354c79b428c9ac84fd886642944
Publikováno v:
INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020.
In the present paper in L2(m) (0,1) space the optimal quadrature formulas with derivatives are constructed for approximate calculation of the Hyper-singular integral. Explicit formulas for the optimal coefficients are obtained. Some numerical results
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::896c1b92ddf035c442635f6c2518ee8c
https://doi.org/10.1063/5.0057124
https://doi.org/10.1063/5.0057124
Autor:
A.K. Boltaev, Kholmat M. Shadimetov
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-16 (2020)
In the present paper, using the discrete analogue of the operator $\mathrm{d} ^{6}/\mathrm{d} x^{6}-1$ d 6 / d x 6 − 1 , we construct an interpolation spline that minimizes the quantity $\int _{0}^{1}(\varphi {'''}(x)+\varphi (x))^{2}\,\mathrm{d}x$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e5dce02f751aeb60c19fcbc5d47ac1b1
https://doi.org/10.1186/s13662-020-02805-8
https://doi.org/10.1186/s13662-020-02805-8
Publikováno v:
Applied Mathematics and Computation. 317:150-159
In the present paper in L 2 ( m ) ( 0 , 1 ) space the optimal quadrature formulas with derivatives are constructed for approximate calculation of the Cauchy type singular integral. Explicit formulas for the optimal coefficients are obtained. Some num
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ad68e927c4dadb959387de2168e2b818
https://doi.org/10.1016/j.amc.2017.09.009
https://doi.org/10.1016/j.amc.2017.09.009
Publikováno v:
Journal of Applied Analysis & Computation. 7:1233-1266
This paper studies the problem of construction of optimal quadrature formulas in the sense of Sard in the W2(m,m-1)[0,1] space for calculating Fourier coefficients. Using S. L. Sobolev's method we obtain new optimal quadrature formulas of such type f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5075829f177c2a492e3b4b10df46b9e3
https://doi.org/10.11948/2017076
https://doi.org/10.11948/2017076
Publikováno v:
Journal of Computational and Applied Mathematics. 388:113313
In the present paper, the construction process of the optimal quadrature formulas for weighted integrals is presented in the Sobolev space L 2 ( m ) ( 0 , 1 ] of complex-valued periodic functions which are square integrable with m th order derivative
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7cae5dd81fe9351b0cee012fcc475d26
https://doi.org/10.1016/j.cam.2020.113313
https://doi.org/10.1016/j.cam.2020.113313
Publikováno v:
Applied Mathematics and Computation. 259:637-653
An optimal quadrature formula in the sense of Sard in the Hilbert space K 2 ( P m ) is constructed. New optimal quadrature formula of such a type and explicit expressions for the corresponding optimal coefficients are obtained using S.L. Sobolev's me
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9afe960ad08f487f09c9655112313fda
https://doi.org/10.1016/j.amc.2015.02.093
https://doi.org/10.1016/j.amc.2015.02.093
Publikováno v:
Applied Mathematics and Computation. 244:542-551
In the present paper, using S.L. Sobolev’s method, interpolation D m -splines that minimizes the expression ∫ 0 1 ( φ ( m ) ( x ) ) 2 dx in the L 2 ( m ) ( 0 , 1 ) space are constructed. Explicit formulas for the coefficients of the interpolatio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4330fd18f7644ace9adacd86a009bb93
https://doi.org/10.1016/j.amc.2014.07.033
https://doi.org/10.1016/j.amc.2014.07.033
Publikováno v:
Publications de l'Institut Math?matique (Belgrade). 95:29-47
We construct an optimal quadrature formula in the sense of Sard in the Hilbert space K2(P3). Using Sobolev?s method we obtain new optimal quadrature formula of such type and give explicit expressions for the corresponding optimal coefficients. Furthe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::000eea9eb88f0eb7f7adff09181844a8
https://doi.org/10.2298/pim1409029h
https://doi.org/10.2298/pim1409029h