V. Babenko

activity

20112017

most citedInequalities similar to those of Bernstein for non-periodic splines in

L_{2}

space

1 citations · 3 across the 7 of their papers we have counts for

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math.NA2011

Exact asymptotics of the optimal $L_{p, Ω}$ -error of linear spline interpolation

Vladislav Babenko, Yuliya Babenko, Dmytro Skorokhodov

In this paper we provide the exact asymptotics of the optimal weighted $L_{p}$ -error, $0 < p < \infty$ , of linear spline interpolation of $C^{2}$ functions with positive Hessian. The full…

math.NA2011

On one extremal property of a regular simplex

Vladislav Babenko, Yuliya Babenko, Nataliya Parfinovych +1

In this paper, we show that the $L_{p}$ -error of asymmetric linear approximation of the quadratic function $Q (x) = \sum_{j = 1}^{d} x_{j}^{2}$ on simplices in $\RR^d$ of fixed volum…

Exact asymptotics of the optimal Lp,Ω​-error of linear spline interpolation

On one extremal property of a regular simplex

Exact asymptotics of the optimal $L_{p, Ω}$ -error of linear spline interpolation