The paper addresses the problem of function reconstruction based on integral equations. The approach relies on Fourier transforms and their inverses to recover the function from given data. It is emphasized that the analytical evaluation of the obtained solution is highly challenging due to the presence of poles in the kernel and oscillatory functions, which prevent the integral from being expressed in a closed form. Moreover, the strong sensitivity to noise in the data highlights the necessity of numerical methods. The article analyzes the efficiency of the applied methods and underlines the importance of regularization in the reconstruction process.
| Mualliflar | Djaykov, G.M., Mamutova, G.Sh. |
|---|---|
| Jurnal | Ilim ha’m ja’miyet |
| Nashriyot | Нукус давлат педагогика институти |
| ISSN | 2010-720x, 2181-1555 |
| Nashr sanasi | 2025-12-26 |
| Son | 8-1 |
| Betlar | 8-10 |
| Til | O‘zbek |
| Ilmiy soha | Fizika-matematika |
| Indeksga qo‘shilgan | 2026-08-26 |
integral tenglamalar, Fur’e o‘zgarishi, teskari masala, tartibga solish, funksiyani tiklash, интегральные уравнения, преобразование Фурье, обратная задача, регуляризация, восстановление функции, integral equations, Fourier transform, inverse problem, regularization, function reconstruction
| APA | Djaykov, G.M., & Mamutova, G.Sh. (2025). VAZN FUNKSIYA BILAN BERILGAN INTEGRAL GEOMETRIYA MASALASINI MODELLAShTIRISh. Ilim ha’m ja’miyet, (8-1), 8-10. https://journal.ndpi.uz/index/article/view/2025-8-1-003 |
|---|---|
| GOST (OAK) | Djaykov, G.M., Mamutova, G.Sh. VAZN FUNKSIYA BILAN BERILGAN INTEGRAL GEOMETRIYA MASALASINI MODELLAShTIRISh // Ilim ha’m ja’miyet. – 2025. – № 8-1. – B. 8-10. |
| MLA | Djaykov, G.M., and Mamutova, G.Sh. “VAZN FUNKSIYA BILAN BERILGAN INTEGRAL GEOMETRIYA MASALASINI MODELLAShTIRISh.” Ilim ha’m ja’miyet, (8-1), 8-10, 2025. https://journal.ndpi.uz/index/article/view/2025-8-1-003 |
| Chicago | Djaykov, G.M., and Mamutova, G.Sh. “VAZN FUNKSIYA BILAN BERILGAN INTEGRAL GEOMETRIYA MASALASINI MODELLAShTIRISh.” Ilim ha’m ja’miyet, (8-1), 8-10 (2025). https://journal.ndpi.uz/index/article/view/2025-8-1-003 |
| Harvard | Djaykov, G.M., and Mamutova, G.Sh (2025) ‘VAZN FUNKSIYA BILAN BERILGAN INTEGRAL GEOMETRIYA MASALASINI MODELLAShTIRISh’, Ilim ha’m ja’miyet, (8-1), 8-10. https://journal.ndpi.uz/index/article/view/2025-8-1-003 |
| BibTeX | @article{djaykovgm2025,
title = {VAZN FUNKSIYA BILAN BERILGAN INTEGRAL GEOMETRIYA MASALASINI MODELLAShTIRISh},
author = {Djaykov, G.M. and Mamutova, G.Sh.},
journal = {Ilim ha’m ja’miyet},
year = {2025},
number = {8-1},
pages = {8-10},
url = {https://journal.ndpi.uz/index/article/view/2025-8-1-003}
} |
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