T. Stepaniuk

activity

20132024

most citedAbout Lebesgue inequalities on the classes of generalized Poisson integrals

2 citations · 4 across the 13 of their papers we have counts for

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Showing 2023 · math.CAShow all

3 papers · 2 filters

math.CA2023

Estimates of approximations by interpolation trigonometric polynomials on the classes of convolutions of high smoothness

A. S. Serdyuk, T. A. Stepaniuk

We establish interpolation analogues of Lebesgue type inequalities on the sets of $C_{β}^{ψ} L_{1}$ $2 π$ -periodic functions $f$ , which are representable as convolutions of generating ke…

math.CA2023

Approximation of generalized Poisson integrals by interpolation trigonometric polynomials

Anatoly Serdyuk, Tetiana Stepaniuk

In this paper we establish asymptotically best possible interpolation Lebesgue-type inequalities for $2 π$ -periodic functions $f$ , which are representable as generalized Poisson int…

math.CA2023

Uniform approximations by Fourier sums on the sets of convolutions of periodic functions of high smoothness

Anatoly Serdyuk, Tetiana Stepaniuk

On the sets of $2 π$ -periodic functions $f$ , which are defined with a help of $(ψ, β)$ -integrals of the functions $φ$ from $L_{1}$ , we establish Lebesgue-type inequalities, in which…