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Alotaibi, Abdullah; Mursaleen, M.

Applications of Hankel and regular matrices in Fourier series. (English) Zbl 1470.42009

Abstr. Appl. Anal. 2013, Article ID 947492, 3 p. (2013).
Summary: Recently, M. A. Alghamdi and the second author [Appl. Math. Comput. 224, 278–282 (2013; Zbl 1334.15072)] used the Hankel matrix to determine the necessary and suffcient condition to find the sum of the Walsh-Fourier series. In this paper, we propose to use the Hankel matrix as well as any general nonnegative regular matrix to obtain the necessary and sufficient conditions to sum the derived Fourier series and conjugate Fourier series.

Cited in 1 Document

MSC:

42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
15B05 Toeplitz, Cauchy, and related matrices

Citations:

Zbl 1334.15072
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\textit{A. Alotaibi} and \textit{M. Mursaleen}, Abstr. Appl. Anal. 2013, Article ID 947492, 3 p. (2013; Zbl 1470.42009)
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References:

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[3] Alghamdi, M. A.; Mursaleen, M., Hankel matrix transformation of the Walsh—Fourier series, Applied Mathematics and Computation, 224, 278-282 (2013) · Zbl 1334.15072
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