Approximations of set-valued functions based on the metric average

This paper investigates the approximation of set-valued functions with compact images (not necessarily convex), by adaptations of the Schoenberg spline operators and the Bernstein polynomial operators. When replacing the sum between numbers in these operators, by the Minkowski sum between sets, the...

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Bibliographic Details
Main Authors: Alona Mokhov, Nira Dyn
Format: Article
Language:English
Published: Sapienza Università Editrice 2006-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2006(3-4)/249-266.pdf