In the present paper in $L_2^{(m)}(-1,1)$ space an optimal quadrature formula is constructed for approximate calculation of the Cauchy type singular integral. Explicit formulas for the optimal coefficients are obtained.
| Mualliflar | Akhmedov D.M. |
|---|---|
| Jurnal | O‘zbekiston matematika jurnali |
| Nashriyot | Ўзбекистон Республикаси ФА Математика институти |
| ISSN | 2010-7269 |
| Nashr sanasi | 2025-09-06 |
| Jild | 69 |
| Son | 3 |
| Betlar | 15-24 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.29229/uzmj.2025-3-2 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.29229/uzmj.2025-3-2 · Maqolaning asl sahifasi
Cauchy type singular integral, quadrature formula, error functional, extremal function, optimal coefficients
| APA | Akhmedov D.M. (2025). Construction of optimal quadrature formulas for Cauchy type singular integrals in the $L_2^{(m)}(-1,1)$ space. O‘zbekiston matematika jurnali, 69(3), 15-24. https://doi.org/10.29229/uzmj.2025-3-2 |
|---|---|
| GOST (OAK) | Akhmedov D.M. Construction of optimal quadrature formulas for Cauchy type singular integrals in the $L_2^{(m)}(-1,1)$ space // O‘zbekiston matematika jurnali. – 2025. – T. 69, № 3. – P. 15-24. – DOI: 10.29229/uzmj.2025-3-2. |
| MLA | Akhmedov D.M. “Construction of optimal quadrature formulas for Cauchy type singular integrals in the $L_2^{(m)}(-1,1)$ space.” O‘zbekiston matematika jurnali, 69(3), 15-24, 2025. https://doi.org/10.29229/uzmj.2025-3-2 |
| Chicago | Akhmedov D.M. “Construction of optimal quadrature formulas for Cauchy type singular integrals in the $L_2^{(m)}(-1,1)$ space.” O‘zbekiston matematika jurnali, 69(3), 15-24 (2025). https://doi.org/10.29229/uzmj.2025-3-2 |
| Harvard | Akhmedov D.M (2025) ‘Construction of optimal quadrature formulas for Cauchy type singular integrals in the $L_2^{(m)}(-1,1)$ space’, O‘zbekiston matematika jurnali, 69(3), 15-24. https://doi.org/10.29229/uzmj.2025-3-2 |
| BibTeX | @article{akhmedovdm2025,
title = {Construction of optimal quadrature formulas for Cauchy type singular integrals in the $L_2^{(m)}(-1,1)$ space},
author = {Akhmedov D.M.},
journal = {O‘zbekiston matematika jurnali},
year = {2025},
volume = {69},
number = {3},
pages = {15-24},
doi = {10.29229/uzmj.2025-3-2},
url = {https://doi.org/10.29229/uzmj.2025-3-2}
} |
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