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


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

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

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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