- Title
- Best simultaneous approximation in normed linear spaces
- Creator
- Johnson, Solomon Nathan
- ThesisAdvisor
- Mabizela, Sizwe
- Subject
- Normed linear spaces
- Subject
- Approximation theory
- Subject
- Mathematical analysis
- Date
- 2018
- Type
- text
- Type
- Thesis
- Type
- Masters
- Type
- MSc
- Identifier
- http://hdl.handle.net/10962/58985
- Identifier
- vital:27400
- Description
- 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.
- Format
- 53 pages, pdf
- Publisher
- Rhodes University, Faculty of Science, Mathematics (Pure and Applied)
- Language
- English
- Rights
- Johnson, Solomon Nathan
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