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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Published in | International journal of analysis and applications Vol. 16; no. 2; pp. 209 - 221 |
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Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Etamaths Publishing
01.03.2018
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Online Access | Get full text |
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Summary: | 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. |
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ISSN: | 2291-8639 2291-8639 |
DOI: | 10.28924/2291-8639-16-2018-209 |