In this thesis we consider the problem of simultaneously approximating elements of a set B C X by a single element of a set K C X. This type of a problem arises when the element to be approximated is not known precisely but is known to belong to a set.Thus, best simultaneous approximation is a natural generalization of best approximation which has been studied extensively. The theory of best simultaneous approximation has been studied by many authors, see for example [4], [8], [25], [28], [26] and [12] to name but a few.
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:rhodes/vital:27400 |
| Date | January 2018 |
| Creators | Johnson, Solomon Nathan |
| Publisher | Rhodes University, Faculty of Science, Mathematics (Pure and Applied) |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Type | text, Thesis, Masters, MSc |
| Format | 53 leaves, pdf |
| Rights | Johnson, Solomon Nathan |
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