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Abstract. We obtain a Tauberian theorem for a class of regular lower triangular matrices operating on Walsh--Fourier series for functions $f \in L^1(0, 1)$. As corollaries we obtain Tauberian theorems for weighted mean, Nörlund, and Hausdorff matrices.
AMS Subject Classification
(1991): 42C10; 42A24, 40G05
Keyword(s):
generalized bounded variation,
Hausdorff matrices,
Nörlund matrices,
orthonormal systems Walsh--Fourier series
Received July 11, 2008, and in final form July 31, 2008. (Registered under 6035/2009.)
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