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Publications Influence

Order Estimates for the Best Approximations and Approximations by Fourier Sums in the Classes of Convolutions of Periodic Functions of Low Smoothness in the Uniform Metric

- A. Serdyuk, T. Stepanyuk
- Mathematics
- 16 August 2015

We obtain the exact-order estimates for the best uniform approximations and uniform approximations by Fourier sums in the classes of convolutions of periodic functions from the unit balls of the… Expand

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Comparison of probabilistic and deterministic point sets on the sphere

- P. Grabner, T. Stepanyuk
- Mathematics, Computer Science
- J. Approx. Theory
- 23 March 2018

TLDR

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Comparison of probabilistic and deterministic point sets

- P. Grabner, T. Stepanyuk
- Mathematics
- 23 March 2018

In this paper we make a comparison between certain probabilistic and deterministic point sets and show that some deterministic constructions (spherical $t$-designs) are better or as good as… Expand

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Approximation of functions from the classesW_β^r H^α by Weierstrass integrals

- U. Z. Hrabova, I. Kal’chuk, T. Stepanyuk
- Mathematics
- 30 April 2017

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On the Approximation of the Classes WβrHα$$ {W}_{\beta}^r{H}^{\alpha } $$ by Biharmonic Poisson Integrals

- U. Z. Hrabova, I. Kal’chuk, T. Stepanyuk
- Mathematics
- 1 October 2018

We obtain asymptotic equalities for the least upper bounds of deviations of the biharmonic Poisson integrals of functions of the classes WβrHα$$ {W}_{\beta}^r{H}^{\alpha } $$ in the case where r > 2,… Expand

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Upper and lower estimates for numerical integration errors on spheres of arbitrary dimension

- P. Grabner, T. Stepanyuk
- Mathematics, Computer Science
- J. Complex.
- 16 January 2018

TLDR

PROTEIN-ENERGY INSUFFICIENCY AND STRUCTURE OF MORTALITY IN PATIENTS WITH CHRONIC CRITICAL CONDITION

- A. Parfenov, Moscow Russian Federation rehabilitology, +5 authors A. Grechko
- Medicine
- 31 August 2018

Approximation of the Classes of Generalized Poisson Integrals by Fourier Sums in Metrics of the Spaces LS

- A. Serdyuk, T. Stepanyuk
- Mathematics
- 4 November 2017

In metrics of the spaces Ls, 1 ≤ s ≤ 1, we establish asymptotic equalities for the upper bounds of approximations by Fourier sums in the classes of generalized Poisson integrals of periodic functions… Expand

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Poissonian pair correlation on manifolds via the heat kernel.

- P. Grabner, T. Stepanyuk
- Mathematics
- 17 April 2019

We define a notion of Poissonian pair correlation (PPC) for Riemannian manifolds without boundary and prove that PPC implies uniform distribution in this setting. This extends earlier work by… Expand

Approximation of Functions from the Classes WβrHα$$ {W}_{\beta}^r{H}^{\alpha } $$ by Weierstrass Integrals

- U. Z. Hrabova, I. Kal’chuk, T. Stepanyuk
- Mathematics
- 1 September 2017

We study the asymptotic behavior of the least upper bounds of the approximations of functions from the classes WβrHα$$ {W}_{\beta}^r{H}^{\alpha } $$ by Weierstrass integrals in the uniform metric.

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