作者：G.; GAT; U.; GOGINAVAwalsh系统对数收敛性散度傅立叶序列
摘要：The (Nrlund) logarithmic means of the Fourier series of the integrable function f is:1/l_n sum from k=1 to n-1 S_k(f)/(n-k), where l_n:=sum from k=1 to n-1 1/kIn this paper we discuss some convergence and divergence properties of this logarithmic means of the Walsh-Fourier series of functions in the uniform, and in the L~1 Lebesgue norm. Among others, as an application of our divergence results we give a negative answer to a question of Móricz concerning the convergence of logarithmic means in norm.
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