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  • 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

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