Different Korovkin type results have been obtained in cones of set-valued continuous functions. Here we show that if we consider the subcone of set-valued continuous functions having a convex graph, then we can consider a Korovkin system which contains only affine functions. In this way we give a non trivial example where the number of functions to be used in a Korovkin system can be reduced.
Korovkin-type approximation of set-valued functions with convex graphs
Campiti M.
Primo
2022-01-01
Abstract
Different Korovkin type results have been obtained in cones of set-valued continuous functions. Here we show that if we consider the subcone of set-valued continuous functions having a convex graph, then we can consider a Korovkin system which contains only affine functions. In this way we give a non trivial example where the number of functions to be used in a Korovkin system can be reduced.File in questo prodotto:
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