On Generalized Local Property of $|A;\delta|_{k}$-Summability of Factored Fourier Series
The convergence of Fourier series of a function at a point depends upon the behaviour of the function in the neighborhood of that point and it leads to the local property of Fourier series. In the proposed paper a new result on local property of $|\mathcal{A};\delta|_{k}$-summability of factored Fou...
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Etamaths Publishing
2018-03-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/1536 |
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doaj-d4ad3f69c59140d991612de944188a592021-08-26T13:44:38ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392018-03-01162209221297On Generalized Local Property of $|A;\delta|_{k}$-Summability of Factored Fourier SeriesB. B. JenaVandana --S. K. PaikrayU. K. MisraThe convergence of Fourier series of a function at a point depends upon the behaviour of the function in the neighborhood of that point and it leads to the local property of Fourier series. In the proposed paper a new result on local property of $|\mathcal{A};\delta|_{k}$-summability of factored Fourier series has been established that generalizes a theorem of Sarig\"{o}l [13] (see [M. A. Sari\"{o}gol, On local property of $|\mathcal{A}|_{k}$-summability of factored Fourier series, \textit{J. Math. Anal. Appl.} 188 (1994), 118-127]) on local property of $|\mathcal{A}|_{k}$-summability of factored Fourier series.http://etamaths.com/index.php/ijaa/article/view/1536 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
B. B. Jena Vandana -- S. K. Paikray U. K. Misra |
| spellingShingle |
B. B. Jena Vandana -- S. K. Paikray U. K. Misra On Generalized Local Property of $|A;\delta|_{k}$-Summability of Factored Fourier Series International Journal of Analysis and Applications |
| author_facet |
B. B. Jena Vandana -- S. K. Paikray U. K. Misra |
| author_sort |
B. B. Jena |
| title |
On Generalized Local Property of $|A;\delta|_{k}$-Summability of Factored Fourier Series |
| title_short |
On Generalized Local Property of $|A;\delta|_{k}$-Summability of Factored Fourier Series |
| title_full |
On Generalized Local Property of $|A;\delta|_{k}$-Summability of Factored Fourier Series |
| title_fullStr |
On Generalized Local Property of $|A;\delta|_{k}$-Summability of Factored Fourier Series |
| title_full_unstemmed |
On Generalized Local Property of $|A;\delta|_{k}$-Summability of Factored Fourier Series |
| title_sort |
on generalized local property of $|a;\delta|_{k}$-summability of factored fourier series |
| publisher |
Etamaths Publishing |
| series |
International Journal of Analysis and Applications |
| issn |
2291-8639 |
| publishDate |
2018-03-01 |
| description |
The convergence of Fourier series of a function at a point depends upon the behaviour of the function in the neighborhood of that point and it leads to the local property of Fourier series. In the proposed paper a new result on local property of $|\mathcal{A};\delta|_{k}$-summability of factored Fourier series has been established that generalizes a theorem of Sarig\"{o}l [13] (see [M. A. Sari\"{o}gol, On local property of $|\mathcal{A}|_{k}$-summability of factored Fourier series, \textit{J. Math. Anal. Appl.} 188 (1994), 118-127]) on local property of $|\mathcal{A}|_{k}$-summability of factored Fourier series. |
| url |
http://etamaths.com/index.php/ijaa/article/view/1536 |
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