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Approximation of functions and their conjugates in L<sup>p</sup> and uniform metric by Euler means
Abstract For 2π-periodic functions from L p (where 1 < p < ∞) we prove an estimate of approximation by Euler means in L p metric generalizing a result of L. Rempuska and K. Tomczak. Furthermore, we show that this estimate is sharp in a certain sense. We study the …