On the polyconvolution with the weight function $\gamma(y)=\cos y$ of Hartley integral transforms $\mathcal H_1,$ $\mathcal H_2,$ $\mathcal H_1$ and integral equations
UDC 517.5 We construct and investigate new polyconvolution with the weight function $\gamma(y)=\cos y$ of Hartley integral transforms $\mathcal H_1,$ $\mathcal H_2,$ $\mathcal H_1$ and apply it to solve integral equations and a system of integral equations of polyconvolution type.
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| Datum: | 2023 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Institute of Mathematics, NAS of Ukraine
2023
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/6971 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512563999014912 |
|---|---|
| author | Khoa, N. M. Thang, T. V. Khoa, N. M. Thang, T. V. |
| author_facet | Khoa, N. M. Thang, T. V. Khoa, N. M. Thang, T. V. |
| author_sort | Khoa, N. M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-05-14T15:30:12Z |
| description |
UDC 517.5
We construct and investigate new polyconvolution with the weight function $\gamma(y)=\cos y$ of Hartley integral transforms $\mathcal H_1,$ $\mathcal H_2,$ $\mathcal H_1$ and apply it to solve integral equations and a system of integral equations of polyconvolution type. |
| doi_str_mv | 10.37863/umzh.v75i4.6971 |
| first_indexed | 2026-03-24T03:30:47Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-6971 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:30:47Z |
| publishDate | 2023 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-69712023-05-14T15:30:12Z On the polyconvolution with the weight function $\gamma(y)=\cos y$ of Hartley integral transforms $\mathcal H_1,$ $\mathcal H_2,$ $\mathcal H_1$ and integral equations On the polyconvolution with the weight function $\gamma(y)=\cos y$ of Hartley integral transforms $\mathcal H_1,$ $\mathcal H_2,$ $\mathcal H_1$ and integral equations Khoa, N. M. Thang, T. V. Khoa, N. M. Thang, T. V. Integral equation convolution polyconvolution Hartley transforms UDC 517.5 We construct and investigate new polyconvolution with the weight function $\gamma(y)=\cos y$ of Hartley integral transforms $\mathcal H_1,$ $\mathcal H_2,$ $\mathcal H_1$ and apply it to solve integral equations and a system of integral equations of polyconvolution type. УДК 517.5 Про полізгортку з ваговою функцією $\gamma(y)=\cos y$ для інтегральних перетворень Хартлі $\mathcal H_1,$ $\mathcal H_2,$ $\mathcal H_1$ та інтегральних рівнянь  Побудовано та досліджено нову полізгортку з ваговою функцією $\gamma(y)=\cos y$ для інтегральних перетворень Хартлі $\mathcal H_1,$ $\mathcal H_2,$ $\mathcal H_1,$ яку застосовано для розв'язку інтегральних рівнянь та системи інтегральних рівнянь полізгорткового типу.  Institute of Mathematics, NAS of Ukraine 2023-05-10 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/6971 10.37863/umzh.v75i4.6971 Ukrains’kyi Matematychnyi Zhurnal; Vol. 75 No. 4 (2023); 568 - 576 Український математичний журнал; Том 75 № 4 (2023); 568 - 576 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/6971/9784 Copyright (c) 2023 Nguyen Khoa |
| spellingShingle | Khoa, N. M. Thang, T. V. Khoa, N. M. Thang, T. V. On the polyconvolution with the weight function $\gamma(y)=\cos y$ of Hartley integral transforms $\mathcal H_1,$ $\mathcal H_2,$ $\mathcal H_1$ and integral equations |
| title | On the polyconvolution with the weight function $\gamma(y)=\cos y$ of Hartley integral transforms $\mathcal H_1,$ $\mathcal H_2,$ $\mathcal H_1$ and integral equations |
| title_alt | On the polyconvolution with the weight function $\gamma(y)=\cos y$ of Hartley integral transforms $\mathcal H_1,$ $\mathcal H_2,$ $\mathcal H_1$ and integral equations |
| title_full | On the polyconvolution with the weight function $\gamma(y)=\cos y$ of Hartley integral transforms $\mathcal H_1,$ $\mathcal H_2,$ $\mathcal H_1$ and integral equations |
| title_fullStr | On the polyconvolution with the weight function $\gamma(y)=\cos y$ of Hartley integral transforms $\mathcal H_1,$ $\mathcal H_2,$ $\mathcal H_1$ and integral equations |
| title_full_unstemmed | On the polyconvolution with the weight function $\gamma(y)=\cos y$ of Hartley integral transforms $\mathcal H_1,$ $\mathcal H_2,$ $\mathcal H_1$ and integral equations |
| title_short | On the polyconvolution with the weight function $\gamma(y)=\cos y$ of Hartley integral transforms $\mathcal H_1,$ $\mathcal H_2,$ $\mathcal H_1$ and integral equations |
| title_sort | on the polyconvolution with the weight function $\gamma(y)=\cos y$ of hartley integral transforms $\mathcal h_1,$ $\mathcal h_2,$ $\mathcal h_1$ and integral equations |
| topic_facet | Integral equation convolution polyconvolution Hartley transforms |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/6971 |
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