Absolute, in degree $$$p$$$, summability of Fourier series by method of Hausdorff

N.I. Volkova (Dnipropetrovsk State University)
M.V. Kovtun (Dnipropetrovsk State University)

Abstract


We establish sufficient conditions of absolute, in degree $$$p$$$, summability of Fourier series, conjugate Fourier series, differentiated Fourier series, and differentiated conjugate Fourier series.

References


Srivastava P. "On the concept of strong summability", Proc. Nat. Inst. Sci. India, 1960; 26.

Knopp H., Lorentz G.G. "Beiträge zur absoluten Limitierung", Arch. Math, 1949; 2: pp. 10-16. (in German) doi:10.1007/BF02036747


Hardy G.H. Divergent series, IL, 1951.

Volkova N.I. "Absolute, in degree $$$p$$$, summability of Fourier series by method of Euler", Res. Math., 1986.




DOI: https://doi.org/10.15421/248714

  

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Copyright (c) 1987 N.I. Volkova, M.V. Kovtun

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