Yurii Kolomoitsev

activity

20112022

most citedApproximation by sampling-type operators in

L_{p}

-spaces

15 citations · 39 across the 11 of their papers we have counts for

collaborators

21 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.CA2020

Approximation by quasi-interpolation operators and Smolyak's algorithm

Yurii Kolomoitsev

We study approximation of multivariate periodic functions from Besov and Triebel--Lizorkin spaces of dominating mixed smoothness by the Smolyak algorithm constructed using a specia…

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.CA2020

Uniform approximation by multivariate quasi-projection operators

Yurii Kolomoitsev, Maria Skopina

Approximation properties of quasi-projection operators $Q_{j} (f, φ, φ)$ are studied. Such an operator is associated with a function $φ$ satisfying the Strang-Fix conditions…

math.CA2020

Approximation by multivariate quasi-projection operators and Fourier multipliers

Yurii Kolomoitsev, Maria Skopina

Multivariate quasi-projection operators $Q_{j} (f, φ, φ)$ , associated with a function $φ$ and a distribution/function $φ$ , are considered. The function $φ$ is suppo…

math.CA2020

Asymptotics of the Lebesgue constants for a $d$ -dimensional simplex

Yurii Kolomoitsev, Elijah Liflyand

In this paper an asymptotic formula is given for the Lebesgue constants generated by the anisotropically dilated $d$ -dimensional simplex. Contrary to many preceding results establi…

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

Approximation by quasi-interpolation operators and Smolyak's algorithm

Asymptotics of the Lebesgue constants for bivariate approximation processes

Uniform approximation by multivariate quasi-projection operators

Approximation by multivariate quasi-projection operators and Fourier multipliers

Asymptotics of the Lebesgue constants for a d-dimensional simplex

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

Asymptotics of the Lebesgue constants for a $d$ -dimensional simplex