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Publications Influence

Asymptotic behavior of best approximations of classes of Poisson integrals of functions from Hω

- A. Serdyuk, I. V. Sokolenko
- Mathematics, Computer Science
- J. Approx. Theory
- 1 November 2011

TLDR

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Linear approximation methods and the best approximations of the Poisson integrals of functions from the classes $ {H_{{\omega_p}}} $ in the metrics of the spaces Lp

- A. Serdyuk, I. V. Sokolenko
- Mathematics
- 1 December 2010

We obtain upper estimates for the least upper bounds of approximations of the classes of Poisson integrals of functions from $ {H_{{\omega_p}}} $ for 1 ≤ p < ∞ by a certain linear method Un* in the… Expand

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Modification of Nanotube Chrysotile by Introducing Heavy Metal Compounds into its Structure

- V. Pavlenko, L. N. Naumova, I. V. Sokolenko
- Materials Science
- 2013

Studies have been conducted in the area of the filling hydrosilicate chrysotile nanotubes with heavy metals, in particular PbWO . Processes of nanotube interaction with solutions of salts of heavy… Expand

Correction to: Approximation by Interpolation Trigonometric Polynomials in Metrics of the Space Lp on the Classes of Periodic Entire Functions

- A. Serdyuk, I. V. Sokolenko
- Mathematics
- 1 November 2019

The title of the article should read:Approximation by Interpolation Trigonometric Polynomials in Metrics of the Space Lp on the Classes of Periodic Entire FunctionsThe original article has been… Expand

Approximation by linear methods of classes of $(\psi,\bar\beta)-$differentiable functions

- A. Serdyuk, I. V. Sokolenko
- Mathematics
- 6 March 2013

We calculate the least upper bounds for approximations in the metric of the space $L_2$ by linear methods of summation of Fourier series on classes of periodic functions $L^\psi_{\bar\beta,1}$… Expand

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Ballistic Transmission of the Dirac Quasielectrons Through the Barrier in the 3D Tоpological Insulators

- A. Korol, N. Medvid, A. I. Sokolenko, I. V. Sokolenko
- Physics
- 27 August 2018

Topological insulators belong to the new class of substances that have recently been called Dirac materials ([1] and references therein). These include very different objects in their structure, in… Expand

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Approximation of
$$\bar \omega $$
-integrals of continuous functions defined on the real axis by Fourier operators

- I. V. Sokolenko
- Mathematics
- 1 May 2004

AbstractWe obtain asymptotic formulas for the deviations of Fourier operators on the classes of continuous functions
$$\hat C_\infty ^{\bar \psi } $$
and
$$\hat C^{\bar \psi } H_\omega $$
in the… Expand

Approximation of the % MathType!MTEF!2!1!+- % feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXafv3ySLgzGmvETj2BSbqefm0B1jxALjhiov2D %…

We find asymptotic formulas for the least upper bounds of the deviations of Fourier operators on classes of functions locally summable on the entire real axis and defined by <InlineEquation… Expand

Asymptotic estimates for the best uniform approximations of classes of convolution of periodic functions of high smoothness

- A. Serdyuk, I. V. Sokolenko
- Mathematics
- 4 August 2020

We find two-sides estimates for the best uniform approximations of classes of convolutions of $2\pi$-periodic functions from unit ball of the space $L_p, 1 \le p <\infty,$ with fixed kernels, modules… Expand

Approximation by Fourier sums in classes of differentiable functions with high exponents of smoothness

- A. Serdyuk, I. V. Sokolenko
- Mathematics
- 6 June 2019

We find asymptotic equalities for the exact upper bounds of approximations by Fourier sums of Weyl-Nagy classes $W^r_{\beta,p}, 1\le p\le\infty,$ for rapidly growing exponents of smoothness $r$… Expand

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