| dc.contributor.author | Persson, Lars-Erik | |
| dc.contributor.author | Tsagareishvili, Vakhtang | |
| dc.contributor.author | Tutberidze, Giorgi | |
| dc.date.accessioned | 2024-01-22T14:26:55Z | |
| dc.date.available | 2024-01-22T14:26:55Z | |
| dc.date.issued | 2023-11-24 | |
| dc.description.abstract | This paper is devoted to investigating the sequence of some linear functionals in the space BV of finite variation functions. We prove that under certain conditions this sequence is bounded. We also prove that this result is sharp. In particular, the obtained results can be used to study convergence of some general Fourier series. Moreover, the obtained conditions seem to be new and useful also for classical orthonormal systems. | en_US |
| dc.description | Submitted to <a href=http://www.nonlinearstudies.com/index.php/nonlinear/article/view/3425>http://www.nonlinearstudies.com/index.php/nonlinear/article/view/3425</a>. | en_US |
| dc.identifier.citation | Persson LE, Tsagareishvili V, Tutberidze G. Properties of sequence of linear functionals on BV with applications. Nonlinear Studies. 2023;30(4) | en_US |
| dc.identifier.cristinID | FRIDAID 2218890 | |
| dc.identifier.doi | 10.48550/arXiv.2308.04403 | |
| dc.identifier.issn | 1359-8678 | |
| dc.identifier.uri | https://hdl.handle.net/10037/32680 | |
| dc.language.iso | eng | en_US |
| dc.relation.journal | Nonlinear Studies | |
| dc.rights.accessRights | openAccess | en_US |
| dc.rights.holder | Copyright 2023 The Author(s) | en_US |
| dc.title | Properties of sequence of linear functionals on BV with applications | en_US |
| dc.type.version | acceptedVersion | en_US |
| dc.type | Journal article | en_US |
| dc.type | Tidsskriftartikkel | en_US |
| dc.type | Peer reviewed | en_US |
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