Abstract and Applied Analysis

Applications of Hankel and Regular Matrices in Fourier Series

Abdullah Alotaibi and M. Mursaleen

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Recently, Alghamdi and Mursaleen (2013) 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.

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Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 947492, 3 pages.

First available in Project Euclid: 26 February 2014

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Alotaibi, Abdullah; Mursaleen, M. Applications of Hankel and Regular Matrices in Fourier Series. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 947492, 3 pages. doi:10.1155/2013/947492. https://projecteuclid.org/euclid.aaa/1393443692

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