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Degrees of the approximations by some special matrix means of conjugate Fourier series

机译：Degrees of the approximations by some special matrix means of conjugate Fourier series

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In this paper we will present the pointwise and normwise estimations of the deviations considered by W. Łenski, B. Szal, Acta Comment. Univ. Tartu. Math., 2009, 13, 11-24 and S. Saini, U. Singh, Boll. Unione Mat. Ital., 2016, 9, 495-504 under general assumptions on the class considered sequences defining the method of the summability. We show that the obtained estimations are the best possible for some subclasses of L p by constructing the suitable type of functions.

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