Название: APPROXIMATION OF FUNCTIONS USING EXTENDED CHEBYSHEV WAVELETS AND ITS APPLICATION IN SOLVING INTEGRAL EQUATIONS
Авторы: Yadav, Harish Chandra; Abhilasha, Abhilasha
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https://elar.urfu.ru/handle/10995/157781
| Название: | APPROXIMATION OF FUNCTIONS USING EXTENDED CHEBYSHEV WAVELETS AND ITS APPLICATION IN SOLVING INTEGRAL EQUATIONS |
| Авторы: | Yadav, Harish Chandra Abhilasha, Abhilasha |
| Дата публикации: | 2026 |
| Издатель: | N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences Ural Federal University named after the first President of Russia B.N. Yeltsin |
| Библиографическое описание: | Yadav Harish Chandra. APPROXIMATION OF FUNCTIONS USING EXTENDED CHEBYSHEV WAVELETS AND ITS APPLICATION IN SOLVING INTEGRAL EQUATIONS / Harish Chandra Yadav, Abhilasha Abhilasha. — Text : electronic // Ural Mathematical Journal. — 2026. — Volume 12. — № 1. — P. 167-179. |
| Аннотация: | This paper presents a novel method in wavelet analysis for approximating solution functions of Fredholm integral equations. The proposed approach uses partial sums derived from this expansion on the interval [0,γ), where γ > 0, resulting in accurate approximations of the solution function. The paper shows that the results obtained by applying the Chebyshev wavelet method coincide with the exact solutions of Fredholm integral equations. This agreement confirms the efficacy and reliability of the proposed approach as a tool for obtaining accurate solutions to complex problems. |
| Ключевые слова: | HÖLDER'S CLASS CHEBYSHEV WAVELET OF THE FIRST KIND FREDHOLM INTEGRAL EQUATION |
| URI: | https://elar.urfu.ru/handle/10995/157781 |
| Условия доступа: | Creative Commons Attribution License |
| Текст лицензии: | https://creativecommons.org/licenses/by/4.0/ |
| Идентификатор РИНЦ: | 91852799 |
| EDN: | QLNFOS |
| ISSN: | 2414-3952 |
| DOI: | 10.15826/umj.2026.1.012 |
| Сведения о поддержке: | The authors thank the reviewers for their valuable suggestions, which have improved the paper. |
| Источники: | Ural Mathematical Journal. 2026. Volume 12. № 1 |
| Располагается в коллекциях: | Ural Mathematical Journal |
Файлы этого ресурса:
| Файл | Описание | Размер | Формат | |
|---|---|---|---|---|
| umj_2026_12_1_013.pdf | 169,42 kB | Adobe PDF | Просмотреть/Открыть |
Лицензия на ресурс: Лицензия Creative Commons
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