Generalized Fourier–Cesàro sums for functions of bounded variation
UDC 517.518, 517.521 We investigate the Fourier–Cesàro sums with respect to general orthonormal systems, when a function $f$ belongs to a certain differentiable class of functions.
Збережено в:
| Дата: | 2026 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2026
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/9515 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1871646545964695552 |
|---|---|
| author | Tsagareishvili, Vakhtang Tutberidze, Giorgi Cagareishvili, Giorgi Tsagareishvili, Vakhtang Tutberidze, Giorgi Cagareishvili, Giorgi |
| author_facet | Tsagareishvili, Vakhtang Tutberidze, Giorgi Cagareishvili, Giorgi Tsagareishvili, Vakhtang Tutberidze, Giorgi Cagareishvili, Giorgi |
| author_institution_txt_mv | [
{
"author": "Vakhtang Tsagareishvili",
"institution": "Ivane Javakhishvili Tbilisi State University, Department of Mathematics, Faculty of Exact and Natural Sciences, Tbilisi, Georgia"
},
{
"author": "Giorgi Tutberidze",
"institution": "The University of Georgia, Viktor Kupradze Institute of Mathematics, Tbilisi, Georgia; Ivane Javakhishvili Tbilisi State University, Faculty of Exact and Natural Sciences, Tbilisi, Georgia"
},
{
"author": "Giorgi Cagareishvili",
"institution": "Ivane Javakhishvili Tbilisi State University, Department of Mathematics, Faculty of Exact and Natural Sciences, Tbilisi, Georgia"
}
] |
| author_sort | Tsagareishvili, Vakhtang |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-07-24T15:24:12Z |
| description | UDC 517.518, 517.521
We investigate the Fourier–Cesàro sums with respect to general orthonormal systems, when a function $f$ belongs to a certain differentiable class of functions. |
| doi_str_mv | 10.3842/umzh.v78i7-8.9515 |
| first_indexed | 2026-07-25T01:00:40Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-9515 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-07-25T01:00:40Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-95152026-07-24T15:24:12Z Generalized Fourier–Cesàro sums for functions of bounded variation Generalized Fourier–Cesàro sums for functions of bounded variation Tsagareishvili, Vakhtang Tutberidze, Giorgi Cagareishvili, Giorgi Tsagareishvili, Vakhtang Tutberidze, Giorgi Cagareishvili, Giorgi General Fourier series, Fourier coefficients, Cesàro summability, functions of bounded variation, orthonormal systems, Banach spaces. 42C10, 46B07 UDC 517.518, 517.521 We investigate the Fourier–Cesàro sums with respect to general orthonormal systems, when a function $f$ belongs to a certain differentiable class of functions. УДК 517.518, 517.521 Узагальнені суми Фур'є–Чезаро для функцій обмеженої варіації Досліджено суми Фур'є–Чезаро для загальних ортонормованих систем у випадку, коли функція $f$ належить до деякого диференційовного класу функцій. Institute of Mathematics, NAS of Ukraine 2026-07-24 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/9515 10.3842/umzh.v78i7-8.9515 Ukrains’kyi Matematychnyi Zhurnal; Vol. 78 No. 7-8 (2026); 615–616 Український математичний журнал; Том 78 № 7-8 (2026); 615–616 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/9515/10693 Copyright (c) 2026 Vakhtang Tsagareishvili, Giorgi Tutberidze, Giorgi Cagareishvili |
| spellingShingle | Tsagareishvili, Vakhtang Tutberidze, Giorgi Cagareishvili, Giorgi Tsagareishvili, Vakhtang Tutberidze, Giorgi Cagareishvili, Giorgi Generalized Fourier–Cesàro sums for functions of bounded variation |
| title | Generalized Fourier–Cesàro sums for functions of bounded variation |
| title_alt | Generalized Fourier–Cesàro sums for functions of bounded variation |
| title_full | Generalized Fourier–Cesàro sums for functions of bounded variation |
| title_fullStr | Generalized Fourier–Cesàro sums for functions of bounded variation |
| title_full_unstemmed | Generalized Fourier–Cesàro sums for functions of bounded variation |
| title_short | Generalized Fourier–Cesàro sums for functions of bounded variation |
| title_sort | generalized fourier–cesàro sums for functions of bounded variation |
| topic_facet | General Fourier series Fourier coefficients Cesàro summability functions of bounded variation orthonormal systems Banach spaces. 42C10 46B07 |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/9515 |
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