This paper discusses the frequent occurrence of the Hadamard type integral equation of the first kind in solving problems in aerodynamics, fluid dynamics, wave propagation theory, and ecology. Since the exact solution of this equation is also expressed by an integral, the problem of constructing an optimal quadrature formula for its approximate calculation is considered. The analytical form of the coefficients of the optimal quadrature formula is found.
| Mualliflar | Akhmedov, Dilshod, Pirnapasov , Sardor |
|---|---|
| Jurnal | O‘zbekiston matematika jurnali |
| Nashriyot | Ўзбекистон Республикаси ФА Математика институти |
| ISSN | 2010-7269 |
| Nashr sanasi | 2025-11-03 |
| Jild | 69 |
| Son | 4 |
| Betlar | 15-21 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.29229/uzmj.2025-4-2 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.29229/uzmj.2025-4-2 · Maqolaning asl sahifasi
Cauchy type singular integral, quadrature formula, error functional, extremal function, optimal coefficients
| APA | Akhmedov, Dilshod, & Pirnapasov , Sardor (2025). Optimal approximation techniques for solving Hadamard type integral equations. O‘zbekiston matematika jurnali, 69(4), 15-21. https://doi.org/10.29229/uzmj.2025-4-2 |
|---|---|
| GOST (OAK) | Akhmedov, Dilshod, Pirnapasov , Sardor Optimal approximation techniques for solving Hadamard type integral equations // O‘zbekiston matematika jurnali. – 2025. – T. 69, № 4. – P. 15-21. – DOI: 10.29229/uzmj.2025-4-2. |
| MLA | Akhmedov, Dilshod, and Pirnapasov , Sardor. “Optimal approximation techniques for solving Hadamard type integral equations.” O‘zbekiston matematika jurnali, 69(4), 15-21, 2025. https://doi.org/10.29229/uzmj.2025-4-2 |
| Chicago | Akhmedov, Dilshod, and Pirnapasov , Sardor. “Optimal approximation techniques for solving Hadamard type integral equations.” O‘zbekiston matematika jurnali, 69(4), 15-21 (2025). https://doi.org/10.29229/uzmj.2025-4-2 |
| Harvard | Akhmedov, Dilshod, and Pirnapasov , Sardor (2025) ‘Optimal approximation techniques for solving Hadamard type integral equations’, O‘zbekiston matematika jurnali, 69(4), 15-21. https://doi.org/10.29229/uzmj.2025-4-2 |
| BibTeX | @article{akhmedovdilshod2025,
title = {Optimal approximation techniques for solving Hadamard type integral equations},
author = {Akhmedov, Dilshod and Pirnapasov , Sardor},
journal = {O‘zbekiston matematika jurnali},
year = {2025},
volume = {69},
number = {4},
pages = {15-21},
doi = {10.29229/uzmj.2025-4-2},
url = {https://doi.org/10.29229/uzmj.2025-4-2}
} |
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