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Asymptotic behavior of best approximations of classes of Poisson integrals of functions from Hω
TLDR
We find asymptotic formulas for the least upper bounds of approximation in the metric of the space C by using a linear method U"n^* for classes of Poisson integrals of continuous [email protected] functions in the case where their moduli of continuity do not exceed fixed convex majorants. Expand
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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
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 theExpand
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Modification of Nanotube Chrysotile by Introducing Heavy Metal Compounds into its Structure
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 heavyExpand
Correction to: Approximation by Interpolation Trigonometric Polynomials in Metrics of the Space Lp on the Classes of Periodic Entire Functions
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 beenExpand
Approximation by linear methods of classes of $(\psi,\bar\beta)-$differentiable functions
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
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, inExpand
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Approximation of $$\bar \omega $$ -integrals of continuous functions defined on the real axis by Fourier operators
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 theExpand
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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 <InlineEquationExpand
Asymptotic estimates for the best uniform approximations of classes of convolution of periodic functions of high smoothness
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, modulesExpand
Approximation by Fourier sums in classes of differentiable functions with high exponents of smoothness
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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