Absolute and strong summability in degree $$$p \geqslant 1$$$ of series, associated with Fourier series, by matrix methods

N.T. Polovina (Dnipropetrovsk State University)

Abstract


We establish conditions of $$$|\gamma|_p$$$- and $$$[\gamma]_p$$$-summability in degree $$$p \geqslant 1$$$ of series, associated with Fourier series, at the point where $$$\gamma = \| \gamma_{nk} \|$$$ is the matrix of transformation of series to sequence.

References


Cook R. Infinite matrices and spaces of sequences, 1960. (in Russian)




DOI: https://doi.org/10.15421/247718

  

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Copyright (c) 1977 N.T. Polovina

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991
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