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- W2895926923 abstract "In this paper we study the best asymmetric (sometimes also called penalized or sign-sensitive) approximation in the metrics of the space Lp, 1 6 p 6 ∞, of functions f ∈ C 2 [0,1] 2 � with nonnegative Hessian by piecewise linear splines s ∈ S(△N), generated by given triangulations △N with N elements. We find the exact asymptotic behavior of the optimal (over triangulations △N and splines s ∈ S(△N)) error of such an approximation as N → ∞." @default.
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- W2895926923 date "2014-01-01" @default.
- W2895926923 modified "2023-09-28" @default.
- W2895926923 title "Exact Asymptotics of the Optimal Lp-error of Asymmetric Linear Spline Approximation" @default.
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