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Asymptotically best possible Lebesgue-type inequalities for the fourier sums on sets of generalized poisson integrals
In this paper we establish Lebesgue-type inequalities for 2?-periodic functions f, which are defined by generalized Poisson integrals of the functions ? from Lp, 1 ? p < 1. In these inequalities uniform norms of deviations of Fourier sums ||f-Sn-1||C are expressed via best approximations En(?)Lp of functions ? by …