T. A. Stepanyuk

activity

20162020

collaborators

4 papers

math.CA2020

Uniform approximations by Fourier sums on classes of convolutions of periodic functions

A. S. Serdyuk, T. A. Stepanyuk

We establish asymptotic estimates for exact upper bounds of uniform approximations by Fourier sums on the classes of $2 π$ -periodic functions, which are represented by convolutions…

math.CA2019

Hyperuniform point sets on flat tori: deterministic and probabilistic aspects

Tetiana Stepanyuk

In this paper we study hyperuniformity on flat tori. Hyperuniform point sets on the unit sphere have been studied by J.~Brauchart, P.~Grabner, W.~Kusner and J.~Ziefle. It is shown…

math.CA2018

Order estimates of best orthogonal trigonometric approximations of classes of infinitely differentiable functions

Tetiana Stepanyuk

In this paper we establish exact order estimates for the best uniform orthogonal trigonometric approximations of the classes of $2 π$ -periodic functions, whose $(ψ, β)$ -derivatives b…

math.CA2016

Approximations of classes of generalized Poisson integrals by Fourier sums in metrics of spaces $L_{s}$