Approximations of differentiable convex functions on arbitrary convex polytopes
نویسنده
چکیده
Let Xn := {xi}ni=0 be a given set of (n + 1) pairwise distinct points in R (called nodes or sample points), let P = conv(Xn), let f be a convex function with Lipschitz continuous gradient on P and λ := {λi}ni=0 be a set of barycentric coordinates with respect to the point set Xn. We analyze the error estimate between f and its barycentric approximation:
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عنوان ژورنال:
- Applied Mathematics and Computation
دوره 240 شماره
صفحات -
تاریخ انتشار 2014