Fourier integrals of functions appear primarily in the theory of special functions and Fourier analysis, but also in other applied and computational sciences and engineering, such as theoretical physics, acoustic scattering, quantum chemistry, transport theory, electromagnetism, telecommunications, mechanics, and others. This paper considers the problem of finding the coefficients of weighted optimal quadrature formulas. First, we solve the boundary value problem for the extremal function of the quadrature formula. Using the extremal function, we find the norm of the error functional. The norm of the error functional depends on the coefficients and nodes. Using the Lagrange method, we obtain a system of linear algebraic equations for finding the coefficients of weighted optimal quadrature formulas.
| Mualliflar | Boltaev, A.K., Болтаев, А.К. |
|---|---|
| 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 | 2026-05-02 |
| Son | 2 |
| Betlar | 136-146 |
| Til | Ingliz |
| DOI | 10.71310/pcam.2_72.2026.09 |
| Indeksga qo‘shilgan | 2026-08-27 |
DOI: 10.71310/pcam.2_72.2026.09 · Maqolaning asl sahifasi
Hilbert space, extremal function, squared norm of the error functional, Fourier coefficients, weighted quadrature formulas, пространство Гильберта, экстремальная функция, квадрат нормы функционала погрешности, коэффициенты Фурье, весовые квадратурные формулы
| APA | Boltaev, A.K., & Болтаев, А.К. (2026). On a Discrete System for Finding the Coefficients of Weighted Optimal Quadrature Formulas. Ҳисоблаш ва амалий математика муаммолари, (2), 136-146. https://doi.org/10.71310/pcam.2_72.2026.09 |
|---|---|
| GOST (OAK) | Boltaev, A.K., Болтаев, А.К. On a Discrete System for Finding the Coefficients of Weighted Optimal Quadrature Formulas // Ҳисоблаш ва амалий математика муаммолари. – 2026. – № 2. – P. 136-146. – DOI: 10.71310/pcam.2_72.2026.09. |
| MLA | Boltaev, A.K., and Болтаев, А.К. “On a Discrete System for Finding the Coefficients of Weighted Optimal Quadrature Formulas.” Ҳисоблаш ва амалий математика муаммолари, (2), 136-146, 2026. https://doi.org/10.71310/pcam.2_72.2026.09 |
| Chicago | Boltaev, A.K., and Болтаев, А.К. “On a Discrete System for Finding the Coefficients of Weighted Optimal Quadrature Formulas.” Ҳисоблаш ва амалий математика муаммолари, (2), 136-146 (2026). https://doi.org/10.71310/pcam.2_72.2026.09 |
| Harvard | Boltaev, A.K., and Болтаев, А.К (2026) ‘On a Discrete System for Finding the Coefficients of Weighted Optimal Quadrature Formulas’, Ҳисоблаш ва амалий математика муаммолари, (2), 136-146. https://doi.org/10.71310/pcam.2_72.2026.09 |
| BibTeX | @article{boltaevak2026,
title = {On a Discrete System for Finding the Coefficients of Weighted Optimal Quadrature Formulas},
author = {Boltaev, A.K. and Болтаев, А.К.},
journal = {Ҳисоблаш ва амалий математика муаммолари},
year = {2026},
number = {2},
pages = {136-146},
doi = {10.71310/pcam.2_72.2026.09},
url = {https://doi.org/10.71310/pcam.2_72.2026.09}
} |
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