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On the pointwise approximation by Taylor means

100%

Roszak B.

tom [Z] 41

171-181

In this paper, the rates of approximation of Lebesgue-integrable functions by the Taylor means of their Fourier series are estimated by the characteristics created by the relation defining the Lebesgue-type points. Some corollaries for Lipschitz functions are also derived.

Approximation of functions from IP {uj)p by linear operators of their Fourier series

80%

Łenski W. , Szal B.

Commentationes Mathematicae

2011

tom Vol. 51, [Z] 2

189-202

We show the results corresponding to theorems of S. Lai [Appl. Math. Comput., 209 (2009) 346-350] on the rate of approximation of functions from the generalized integral Lipschitz classes by matrix summability means of their Fourier series as well as to the authors theorems [Acta Comment. Univ. Tartu. Math., 13 (2009), 11-24] also on such approximations.

Pointwise strong approximation of almost periodic functions

80%

Kranz R. , Łenski W. , Szal B.

tom 36

nr 1

45-63

We consider the class GM(₂β) in pointwise estimate of the deviations in strong mean of almost periodic functions from matrix means of partial sums of their Fourier series.

Point wise approximation of 2π/r-periodic functions by matrix operators of their Fourier series with r-differences of the entries

70%

Łenski W. , Szal B.

2018

tom Vol. 51, nr 1

309--322

We extend the results of Xh. Z. Krasniqi [Acta Comment. Univ. Tartu. Math., 2013, 17, 89-101] and the authors [Acta Comment. Univ. Tartu. Math., 2009, 13, 11-24] to the case of 2π/r-periodic functions. More over, as a measure of approximation r-differences of the entries are used.