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Approximation by Vallée-Poussin Type Means of Vilenkin-Fourier Series

  • S. S. Volosivets

摘要

Abstract

We estimate the degree of approximation by linear means of Vallée-Poussin type of Vilenkin-Fourier series in classical Lebesgue spaces and in a space of generalized continuous functions. These results generalize ones obtained by I. Blahota and G.Gat for means of Walsh-Fourier series.