Absolute summability of power $$$p$$$ of series, associated with conjugate Fourier series, by triangular matrix methods

N.I. Volkova (Dnipropetrovsk State University)
N.S. Novikova (Dnipropetrovsk State University)

Abstract


We establish conditions of absolute summability of powers of series that are associated with conjugate Fourier series, by triangular matrix methods, and provide the application of the theorems proved to Voronoi-Nerlund method.

References


Hardy G.H. Divergent series, IL, 1951. (in Russian)




DOI: https://doi.org/10.15421/247715

  

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Copyright (c) 1977 N.I. Volkova, N.S. Novikova

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