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math.NA2013★ 2 cited
Exact asymptotics of the optimal Lp-error of asymmetric linear spline approximation
Vladyslav Babenko, Yuliya Babenko, Nataliya Parfinovych +1
In this paper we study the best asymmetric (sometimes also called penalized or sign-sensitive) approximation in the metrics of the space , , of fu…
math.NA2011
On one extremal property of a regular simplex
Vladislav Babenko, Yuliya Babenko, Nataliya Parfinovych +1
In this paper, we show that the -error of asymmetric linear approximation of the quadratic function on simplices in $\RR^d$ of fixed volum…