- Constructive Mathematical Analysis
- Volume:4 Issue:1
- On the Korovkin-type approximation of set-valued continuous functions
On the Korovkin-type approximation of set-valued continuous functions
Authors : Michele CAMPITI
Pages : 119-134
Doi:10.33205/cma.863145
View : 38 | Download : 8
Publication Date : 2021-03-01
Article Type : Research Paper
Abstract :This paper is devoted to some Korovkin approximation results in cones of Hausdorff continuous set-valued 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.Keywords : Korovkin approximation, approximation of vector valued functions, approximation of set valued functions