Rados\lawa Kranz, W\lodzimierz \Lenski, Bogdan Szal
Published 2012-04-13Version 1
We formulate some special conditions for the integrable functions and moduli of continuity. We give the results on rate of approximation of such functions by matrix means of their Fourier series, where the entries of the rows of the matrix generate the sequences belonging to the classes MRBVS and MHBVS. We also present some results on norm approximation for functions from the generalized integral Lipschitz classes.
On the degree of approximation of continuous functions by a linear transformation of their Fourier series
Estimates for the Square Variation of Partial Sums of Fourier Series and their Rearrangements
$\mathbf L^1$ completeness for Fourier series
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