Yurii Kolomoitsev

activity

20112024

most citedApproximation by multivariate Kantorovich-Kotelnikov operators

37 citations · 110 across the 24 of their papers we have counts for

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4 papers · 1 filter

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.CA2017

Hardy-Littlewood and Ulyanov inequalities

Yurii Kolomoitsev, Sergey Tikhonov

We give the full solution of the following problem: obtain sharp inequalities between the moduli of smoothness $ω_{α} (f, t)_{q}$ and $ω_{β} (f, t)_{p}$ for $0 < p < q \leq \infty$ . A similar proble…

math.CA2017★ 13 cited

On moduli of smoothness and averaged differences of fractional order

Yurii Kolomoitsev

We consider two types of fractional integral moduli of smoothness, which are widely used in theory of functions and approximation theory. In particular, we obtain new equivalences…

math.CA2017★ 2 cited

Differential and falsified sampling expansions

Yu. Kolomoitsev, A. Krivoshein, M. Skopina

Differential and falsified sampling expansions $\sum_{k \in Z^{d}} c_{k} ϕ (M^{j} x + k)$ , where $M$ is a matrix dilation, are studied. In the case of differential expansions, $c_k=Lf(…

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

Hardy-Littlewood and Ulyanov inequalities

On moduli of smoothness and averaged differences of fractional order

Differential and falsified sampling expansions

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