Korovkin-type approximation of set-valued functions with convex graphs
| Title | Korovkin-type approximation of set-valued functions with convex graphs |
| Publication Type | Journal Article |
| Year of Publication | 2022 |
| Authors | Campiti, M |
| Journal | Dolomites Research Notes on Approximation |
| Volume | 15 |
| Issue | 5 |
| Pagination | 51-55 |
| Date Published | 12/2022 |
| Publisher | Padova University Press |
| Place Published | Padova, IT |
| ISSN Number | 2035-6803 |
| 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. |
| URL | https://drna.padovauniversitypress.it/2022/5/5 |
| DOI | 10.14658/pupj-drna-2022-5-5 |
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