On the Convergence and Summability of Orthogonal Series
In the paper, the sufficient conditions are found for the convergence, summability by the Cesàro methods and unconditional convergence almost everywhere of orthogonal series, which are equivalent to the well-known theorems of Menshov–Redemacher, Menshov, and Orlich.
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| Veröffentlicht in: | Journal of contemporary mathematical analysis 2024-08, Vol.59 (4), p.272-278 |
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| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | In the paper, the sufficient conditions are found for the convergence, summability by the Cesàro methods and unconditional convergence almost everywhere of orthogonal series, which are equivalent to the well-known theorems of Menshov–Redemacher, Menshov, and Orlich. |
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| ISSN: | 1068-3623 1934-9416 |
| DOI: | 10.3103/S1068362324700171 |