This paper presents the construction of an optimal quadrature formula in Sobolev space for integrals with power-logarithmic kernels. Formulas are derived for calculating the coefficients of the optimal quadrature formula for the case. In addition, an upper bound for the error of the optimal quadrature formula is given. A conclusion is given on the applicability of this optimal quadrature formula.
| Mualliflar | Shadimetov, Kh.M., Usmanov, Kh.I., Шадиметов, Х.М., Усманов, Х.И. |
|---|---|
| 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 | 74-89 |
| Til | Ingliz |
| Indeksga qo‘shilgan | 2026-08-27 |
optimal quadrature formula, coefficients of the quadrature formula, errors of the quadrature formula, with power-logarithmic kernels, absolute error, оптимальная квадратурная формула, коэффициенты квадратурной формулы, погрешности квадратурной формулы, со степенно – логарифмическими ядрами, абсолютная погрешность
| APA | Shadimetov, Kh.M., Usmanov, Kh.I., Шадиметов, Х.М., & Усманов, Х.И. (2025). Optimal Approximation of Operators with Power-Logarithmic Kernels. Ҳисоблаш ва амалий математика муаммолари, (4/2), 74-89. https://journals.airi.uz/index.php/pvpm/article/view/65 |
|---|---|
| GOST (OAK) | Shadimetov, Kh.M. va b. Optimal Approximation of Operators with Power-Logarithmic Kernels // Ҳисоблаш ва амалий математика муаммолари. – 2025. – № 4/2. – P. 74-89. |
| MLA | Shadimetov, Kh.M., Usmanov, Kh.I., Шадиметов, Х.М., and Усманов, Х.И. “Optimal Approximation of Operators with Power-Logarithmic Kernels.” Ҳисоблаш ва амалий математика муаммолари, (4/2), 74-89, 2025. https://journals.airi.uz/index.php/pvpm/article/view/65 |
| Chicago | Shadimetov, Kh.M., Usmanov, Kh.I., Шадиметов, Х.М., and Усманов, Х.И. “Optimal Approximation of Operators with Power-Logarithmic Kernels.” Ҳисоблаш ва амалий математика муаммолари, (4/2), 74-89 (2025). https://journals.airi.uz/index.php/pvpm/article/view/65 |
| Harvard | Shadimetov, Kh.M., Usmanov, Kh.I., Шадиметов, Х.М., and Усманов, Х.И (2025) ‘Optimal Approximation of Operators with Power-Logarithmic Kernels’, Ҳисоблаш ва амалий математика муаммолари, (4/2), 74-89. https://journals.airi.uz/index.php/pvpm/article/view/65 |
| BibTeX | @article{shadimetovkhm2025,
title = {Optimal Approximation of Operators with Power-Logarithmic Kernels},
author = {Shadimetov, Kh.M. and Usmanov, Kh.I. and Шадиметов, Х.М. and Усманов, Х.И.},
journal = {Ҳисоблаш ва амалий математика муаммолари},
year = {2025},
number = {4/2},
pages = {74-89},
url = {https://journals.airi.uz/index.php/pvpm/article/view/65}
} |
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