Tetiana Lomako

activity

20162022

most citedOn the growth of Lebesgue constants for convex polyhedra

9 citations · 9 across the 6 of their papers we have counts for

collaborators

8 papers

math.CA2022

On generalized $K$ -functionals in $L_{p}$ for $0 < p < 1$

Yurii Kolomoitsev, Tetiana Lomako

We show that the Peetre $K$ -functional between the space $L_{p}$ with $0 < p < 1$ and the corresponding smooth function space $W_{p}^{ψ}$ generated by the Weyl-type differential operator $ψ(…

math.NA2021

Sparse grid approximation in weighted Wiener spaces

Yurii Kolomoitsev, Tetiana Lomako, Segey Tikhonov

We study approximation properties of multivariate periodic functions from weighted Wiener spaces by sparse grids methods constructed with the help of quasi-interpolation operators.…

math.CA2020

Asymptotics of the Lebesgue constants for bivariate approximation processes

Yurii Kolomoitsev, Tetiana Lomako

In this paper asymptotic formulas are given for the Lebesgue constants generated by three special approximation processes related to the $ℓ_{1}$ -partial sums of Fourier series. In…

math.CA2018

Inequalities in approximation theory involving fractional smoothness in $L_{p}$ , $0 < p < 1$

Yurii Kolomoitsev, Tetiana Lomako

In the paper, we study inequalities for the best trigonometric approximations and fractional moduli of smoothness involving the Weyl and Liouville-Grünwald derivatives in $L_{p}$ , $0…

math.CA2018★ 9 cited

On the growth of Lebesgue constants for convex polyhedra

Yurii Kolomoitsev, Tetiana Lomako

In the paper, new estimates of the Lebesgue constant $L (W) = \frac{1}{( 2 π ) ^{d}} \int_{T^{d}} k \in W \cap Z^{d} \sum e^{i (k, x)} d x$ …

math.CA2017

On $L_{p}$ -error of bivariate polynomial interpolation on the square

Yurii Kolomoitsev, Tetiana Lomako, Jürgen Prestin

We obtain estimates of the $L_{p}$ -error of the bivariate polynomial interpolation on the Lissajous-Chebyshev node points for wide classes of functions including non-smooth functions…

math.NA2016

Lebesgue constants for polyhedral sets and polynomial interpolation on Lissajous-Chebyshev nodes

Peter Dencker, Wolfgang Erb, Yurii Kolomoitsev +1

To analyze the absolute condition number of multivariate polynomial interpolation on Lissajous-Chebyshev node points, we derive upper and lower bounds for the respective Lebesgue c…

math.CA2016

On approximation of functions by algebraic polynomials in Hölder spaces

Yurii Kolomoitsev, Tetiana Lomako, Jürgen Prestin

We study approximation of functions by algebraic polynomials in the Hölder spaces corresponding to the generalized Jacobi translation and the Ditzian-Totik moduli of smoothness. By…

On generalized K-functionals in Lp​ for 0<p<1

Sparse grid approximation in weighted Wiener spaces

Asymptotics of the Lebesgue constants for bivariate approximation processes

Inequalities in approximation theory involving fractional smoothness in Lp​, 0<p<1

On the growth of Lebesgue constants for convex polyhedra

On Lp​-error of bivariate polynomial interpolation on the square

Lebesgue constants for polyhedral sets and polynomial interpolation on Lissajous-Chebyshev nodes

On approximation of functions by algebraic polynomials in Hölder spaces

On generalized $K$ -functionals in $L_{p}$ for $0 < p < 1$

Inequalities in approximation theory involving fractional smoothness in $L_{p}$ , $0 < p < 1$

On $L_{p}$ -error of bivariate polynomial interpolation on the square