A Korovkin Type Approximation Theorem for Set-Valued Functions
Copyright policy )A Korovkin Type Approximation Theorem for Set-Valued Functions
This paper is a contribution to the problem of approximating continuous functions F F defined on a compact Hausdorff space X X , where the value F ( x ) F(x) is a compact convex set in R n {{\mathbf {R}}^n} for every x x in X X . More specifically we show how to transfer Korovkin type approximation theorems for real-valued continuous functions to this set-valued situation.
Convex sets in topological linear spaces; Choquet theory, Linear operators on function spaces (general), Approximation by positive operators, Multidimensional problems, Linear operators on ordered spaces, Korovkin type approximation theorems for real-valued continuous functions to this set-valfued situation, convex body
Convex sets in topological linear spaces; Choquet theory, Linear operators on function spaces (general), Approximation by positive operators, Multidimensional problems, Linear operators on ordered spaces, Korovkin type approximation theorems for real-valued continuous functions to this set-valfued situation, convex body
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