On Generalized Local Property of $|A;\delta|_{k}$-Summability of Factored Fourier Series

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B. B. Jena, Vandana --, S. K. Paikray, U. K. Misra, On Generalized Local Property of $|A;\delta|_{k}$-Summability of Factored Fourier Series, Int. J. Anal. Appl., 16 (2) (2018), 209-221.

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B. B. Jena, Vandana --, S. K. Paikray, U. K. Misra

Abstract

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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