This paper is devoted to some Korovkin approximation results in cones of Hausdorff continuous setvalued functions and in spaces of vector-valued functions. Some classical results are exposed in order to give a more complete treatment of the subject. New contributions are concerned both with the general theory than in particular with the so-called convexity monotone operators, which are considered in cones of set-valued function and also in spaces of vector-valued functions.

On the Korovkin-type approximation of set-valued continuous functions

Campiti M.
2021-01-01

Abstract

This paper is devoted to some Korovkin approximation results in cones of Hausdorff continuous setvalued functions and in spaces of vector-valued functions. Some classical results are exposed in order to give a more complete treatment of the subject. New contributions are concerned both with the general theory than in particular with the so-called convexity monotone operators, which are considered in cones of set-valued function and also in spaces of vector-valued functions.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11587/495586
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