Abstract
Abstract In 2005, Tkebuchava constructed a set of logarithmic summation methods which includes Riesz and Nörlund logarithmic summation methods as limit cases. He gave estimates for the kernels of a trigonometric system and also some consequences with respect to the convergence of the means of a Fourier series. Here we give such good estimates for the kernels with respect to Walsh and Walsh–Kaczmarz systems as Tkebuchava did.
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