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- W2894078468 abstract "In this paper we approximate univariate set-valued functions (SVFs) of bounded variation with range consisting of general (not necessarily convex) compact sets. The approximation operators adapted to SVFs are local operators such as the symmetric Schoenberg spline operator, the Bernstein polynomial operator and the Steklov function. All operators are adapted by using metric linear combinations. Error bounds, obtained in the averaged Hausdorff metric, provide rates of approximation similar to those for real-valued functions of bounded variation." @default.
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- W2894078468 date "2019-03-01" @default.
- W2894078468 modified "2023-10-18" @default.
- W2894078468 title "Metric approximation of set-valued functions of bounded variation" @default.
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- W2894078468 doi "https://doi.org/10.1016/j.cam.2018.09.039" @default.
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