This paper investigates the construction of a quadrature formula based on B-spline functions for the approximate evaluation of definite integrals. In the study, the integrand is approximated using B-spline basis functions based on discrete values at nodal points. The coefficients of the quadrature formula are determined from the obtained approximation. The accuracy and efficiency of the proposed method are tested using several test functions, and the results are compared with those obtained by the classical trapezoidal rule. The results show that the B-spline-based quadrature formula provides improved accuracy and stability in the numerical evaluation of definite integrals.
| Mualliflar | Baxramov, Sayfiddin Akbarovich, Aliyev, Nizomiddin Maxmasaitovich |
|---|---|
| Jurnal | Al-Farg'oniy avlodlari |
| Nashriyot | ТАТУ Фарғона филиали |
| ISSN | 2181-4252 |
| Nashr sanasi | 2026-03-13 |
| Son | 1 |
| Betlar | 214-216 |
| Til | Ingliz |
| Ilmiy soha | Texnika |
| Indeksga qo‘shilgan | 2026-08-26 |
B-spline, quadrature formula, numerical integration, spline approximation, basis functions, computational mathematics, error estimate, order of convergence, trapezoidal rule, B-сплайн, квадратурная формула, численное интегрирование, сплайн-аппроксимация, базисные функции, вычислительная математика, оценка погрешности, порядок сходимости, метод трапеций, B-splayn, kvadratur formula, sonli integrallash, splayn approksimatsiyasi, bazis funksiyalar, hisoblash matematikasi, xatolik bahosi, yaqinlashish tartibi, trapetsiya usuli
| APA | Baxramov, Sayfiddin Akbarovich, & Aliyev, Nizomiddin Maxmasaitovich (2026). Construction of a Quadrature Formula Based on B-Splines for the Approximate Calculation of Definite Integrals. Al-Farg'oniy avlodlari, (1), 214-216. https://al-fargoniy.uz/index.php/journal/article/view/1056 |
|---|---|
| GOST (OAK) | Baxramov, Sayfiddin Akbarovich, Aliyev, Nizomiddin Maxmasaitovich Construction of a Quadrature Formula Based on B-Splines for the Approximate Calculation of Definite Integrals // Al-Farg'oniy avlodlari. – 2026. – № 1. – P. 214-216. |
| MLA | Baxramov, Sayfiddin Akbarovich, and Aliyev, Nizomiddin Maxmasaitovich. “Construction of a Quadrature Formula Based on B-Splines for the Approximate Calculation of Definite Integrals.” Al-Farg'oniy avlodlari, (1), 214-216, 2026. https://al-fargoniy.uz/index.php/journal/article/view/1056 |
| Chicago | Baxramov, Sayfiddin Akbarovich, and Aliyev, Nizomiddin Maxmasaitovich. “Construction of a Quadrature Formula Based on B-Splines for the Approximate Calculation of Definite Integrals.” Al-Farg'oniy avlodlari, (1), 214-216 (2026). https://al-fargoniy.uz/index.php/journal/article/view/1056 |
| Harvard | Baxramov, Sayfiddin Akbarovich, and Aliyev, Nizomiddin Maxmasaitovich (2026) ‘Construction of a Quadrature Formula Based on B-Splines for the Approximate Calculation of Definite Integrals’, Al-Farg'oniy avlodlari, (1), 214-216. https://al-fargoniy.uz/index.php/journal/article/view/1056 |
| BibTeX | @article{baxramovsayfiddinakbarovich2026,
title = {Construction of a Quadrature Formula Based on B-Splines for the Approximate Calculation of Definite Integrals},
author = {Baxramov, Sayfiddin Akbarovich and Aliyev, Nizomiddin Maxmasaitovich},
journal = {Al-Farg'oniy avlodlari},
year = {2026},
number = {1},
pages = {214-216},
url = {https://al-fargoniy.uz/index.php/journal/article/view/1056}
} |
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