On the divergence of N\"{o}rlund logarithmic means with respect to the $L^{1}$ norm on some unbounded Vilenkin groups

Nacima Memić

DOI Number
-
First page
271
Last page
279

Abstract


Using the results of the paper (1) we give a divergence result of N\"{o}rlund logarithmic means for some unbounded Vilenkin groups.

Keywords


Unbounded Vilenkin groups, logarithmic means, convergence in norm

Full Text:

PDF

References


I. Blahota and G.G'{a}t, Norm summabitity of N"{o}rlund logarithmic means on unbounded Vilenkin groups, Anal. Theory Appl., Vol 24, 1(2008), 1-17.

G.G'{a}t, U.Goginava, On the divergence of Norlund logarithmic means of Walsh-Fourier series, Acta Math. Sinica , 25 (6) (2009), 903- 916.

N. Ya. Vilenkin, , A class of complete orthonormal systems, Izv. Akad. Nauk.

U.S.S.R., Ser. Mat. 11 (1947), 363-400.


Refbacks

  • There are currently no refbacks.




© University of Niš | Created on November, 2013
ISSN 0352-9665 (Print)
ISSN 2406-047X (Online)