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Matrix Summability of Fourier and Walsh-Fourier Series

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Abstract

In this chapter we apply regular and almost regular matrices to find the sum of derived Fourier series, conjugate Fourier series, and Walsh-Fourier series (see [4] and [69]). Recently, Móricz [67] has studied statistical convergence of sequences and series of complex numbers with applications in Fourier analysis and summability.

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References

  1. M.A. Alghamdi, M. Mursaleen, Hankel matrix transformation of the Walsh-Fourier series, Appl. Math. Comput. 224, 278–282 (2013)

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  3. N.J. Fine, On the Walsh functions. Trans. Amer. Math. Soc. 65, 372–414 (1949)

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  4. F. Móricz, Statistical convergence of sequences and series of complex numbers with applications in Fourier analysis and summability. Analysis Math. 39, 271–285 (2013)

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  5. M. Mursaleen, Application of infinite matrices to Walsh functions. Demonstratio Math. 27(2), 279–282 (1994)

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© 2014 M. Mursaleen

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Mursaleen, M. (2014). Matrix Summability of Fourier and Walsh-Fourier Series. In: Applied Summability Methods. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-04609-9_8

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