A number of books by I.P. Mysovkikh, A.H. Stroud, V.I. Krylov and H.T. Shulgina are devoted to the approximate calculation of integrals, where the theory of constructing quadrature and cubature formulas is presented and exact formulas for algebraic polynomials of degree ???? for standard domains such as ???? – dimensional cube, ???? – dimensional ball, surface of ???? – dimensional ball (sphere), ???? – dimensional space with weight functions, where are given. In the works by Y.Xu, G.P. Ismatullayev, S.A. Bakhramov, cubature formulas were constructed using orthogonal polynomials by the reproducing kernel method and the Radon method with the minimum number of nodes for the domain and the weight where without the participation of partial derivatives. In this paper, we construct a cubature formula for the domain Ω and the weight exact for polynomials of the fifth degree involving the values partial derivatives at the point (0, 0).
| Mualliflar | Ismatullaev, G.P., Bakhromov, S.A., Mirzakabilov, R.N., Исматуллаев, Г.П., Бахромов, С.А., Мирзакабилов, Р.Н. |
|---|---|
| Jurnal | Ҳисоблаш ва амалий математика муаммолари |
| Nashriyot | Тошкент ахборот технологиялари университети қошидаги, Ахборот-коммуникация технологиялари илмий-инновацион, маркази |
| ISSN | 2181-8460, 2181-046X |
| Nashr sanasi | 2025-01-03 |
| Son | 4/2 |
| Betlar | 15-23 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| Indeksga qo‘shilgan | 2026-08-27 |
cubature formula, degree of algebraic accuracy, кубатурная формула, степень алгебраической точности
| APA | Ismatullaev, G.P., Bakhromov, S.A., Mirzakabilov, R.N., Исматуллаев, Г.П., Бахромов, С.А., & Мирзакабилов, Р.Н. (2025). Construction of a Cubature Formula of the Fifth Degree of Accuracy Containing the Values of Partial Derivatives. Ҳисоблаш ва амалий математика муаммолари, (4/2), 15-23. https://journals.airi.uz/index.php/pvpm/article/view/59 |
|---|---|
| GOST (OAK) | Ismatullaev, G.P. va b. Construction of a Cubature Formula of the Fifth Degree of Accuracy Containing the Values of Partial Derivatives // Ҳисоблаш ва амалий математика муаммолари. – 2025. – № 4/2. – P. 15-23. |
| MLA | Ismatullaev, G.P., Bakhromov, S.A., Mirzakabilov, R.N., Исматуллаев, Г.П., Бахромов, С.А., and Мирзакабилов, Р.Н. “Construction of a Cubature Formula of the Fifth Degree of Accuracy Containing the Values of Partial Derivatives.” Ҳисоблаш ва амалий математика муаммолари, (4/2), 15-23, 2025. https://journals.airi.uz/index.php/pvpm/article/view/59 |
| Chicago | Ismatullaev, G.P., Bakhromov, S.A., Mirzakabilov, R.N., Исматуллаев, Г.П., Бахромов, С.А., and Мирзакабилов, Р.Н. “Construction of a Cubature Formula of the Fifth Degree of Accuracy Containing the Values of Partial Derivatives.” Ҳисоблаш ва амалий математика муаммолари, (4/2), 15-23 (2025). https://journals.airi.uz/index.php/pvpm/article/view/59 |
| Harvard | Ismatullaev, G.P., Bakhromov, S.A., Mirzakabilov, R.N., Исматуллаев, Г.П., Бахромов, С.А., and Мирзакабилов, Р.Н (2025) ‘Construction of a Cubature Formula of the Fifth Degree of Accuracy Containing the Values of Partial Derivatives’, Ҳисоблаш ва амалий математика муаммолари, (4/2), 15-23. https://journals.airi.uz/index.php/pvpm/article/view/59 |
| BibTeX | @article{ismatullaevgp2025,
title = {Construction of a Cubature Formula of the Fifth Degree of Accuracy Containing the Values of Partial Derivatives},
author = {Ismatullaev, G.P. and Bakhromov, S.A. and Mirzakabilov, R.N. and Исматуллаев, Г.П. and Бахромов, С.А. and Мирзакабилов, Р.Н.},
journal = {Ҳисоблаш ва амалий математика муаммолари},
year = {2025},
number = {4/2},
pages = {15-23},
url = {https://journals.airi.uz/index.php/pvpm/article/view/59}
} |
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