Abstract
The (Nörlund) logarithmic means of the Fourier series is:
. In general, the Fejér (C,1) means have better properties than the logarithmic ones. We compare them and show that in the case of some unbounded Vilenkin systems the situation changes.
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The first author is supported by the Békésy Postdoctoral fellowship of the Hungarian Ministry of Education Bö 91/2003, the second author is supported by the Hungarian National Foundation for Scientific Research (OTKA), grant no. M 36511/2001, T 048780 and by the Széchenyi fellowship of the Hungarian Ministry of Education Szö 184/2003.
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Blahota, I., Gát, G. Norm summability of Nörlund logarithmic means on unbounded Vilenkin groups. Anal. Theory Appl. 24, 1–17 (2008). https://doi.org/10.1007/s10496-008-0001-z
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DOI: https://doi.org/10.1007/s10496-008-0001-z