Approximation of Univariate Set-Valued Functions - an Overview
2000 Mathematics Subject Classification: 26E25, 41A35, 41A36, 47H04, 54C65. The paper is an updated survey of our work on the approximation of univariate set-valued functions by samples-based linear approximation operators, beyond the results reported in our previous overview. Our approach is to adapt operators for real-valued functions to set-valued functions, by replacing operations between numbers by operations between sets. For set-valued functions with compact convex images we use...