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Compact-open topology and application to approximation by polynomials.
A thesis submitted to the Mathematics Department in partial fulfilment of the requirements for the award of Masters degree in Mathematics.
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| Format: | Thesis |
| Language: | English |
| Published: |
2011
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| _version_ | 1867613138435702784 |
|---|---|
| access_status_str | Open Access |
| author | Adjei, Aaron |
| author_browse | Adjei, Aaron |
| author_facet | Adjei, Aaron |
| author_sort | Adjei, Aaron |
| collection | Thesis |
| description | A thesis submitted to the Mathematics Department in partial fulfilment of the requirements for the award of Masters degree in Mathematics. |
| format | Thesis |
| id | oai:ir.knust.edu.gh:123456789/1595 |
| institution | KNUST (Ghana) |
| language | English |
| last_indexed | 2026-06-10T12:31:22.621Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from KNUSTSpace — Kwame Nkrumah University of Science & Technology (Ghana) |
| publishDate | 2011 |
| publishDateRange | 2011 |
| publishDateSort | 2011 |
| record_format | dspace |
| source_str | KNUSTSpace — Kwame Nkrumah University of Science & Technology (Ghana) |
| spelling | oai:ir.knust.edu.gh:123456789/1595 Compact-open topology and application to approximation by polynomials. Adjei, Aaron A thesis submitted to the Mathematics Department in partial fulfilment of the requirements for the award of Masters degree in Mathematics. Polynomials are widely known by mathematicians and they are very useful. In many situations, we find that in topology and real analysis, we have to use continuous functions, especially continuous real-valued functions on a closed interval. The continuous functions form a very large class of functions. Often there is the need to find a smaller class of functions which are dense in the space of continuous functions. One such useful example is the classical Weierstrass approximation theorem. The purpose of this thesis is to study a modem generalization of the Weierstrass approximation theorem and find an appropriate proof for it. Stone’s theorem provides an elegant or a well-designed generalization and a proof. Therefore this project deals with Stone’s theorem and its application to Weierstrass approximation theorem. The main tool used is compact-open topology. Hence, the need for the idea of topological spaces, metric spaces, the separation axioms and compactness of the spaces. KNUST 2011-11-03T13:01:03Z 2023-04-19T05:31:53Z 2011-11-03T13:01:03Z 2023-04-19T05:31:53Z 2005 Thesis https://ir.knust.edu.gh/handle/123456789/1595 en 4302 application/pdf |
| spellingShingle | Adjei, Aaron Compact-open topology and application to approximation by polynomials. |
| title | Compact-open topology and application to approximation by polynomials. |
| title_full | Compact-open topology and application to approximation by polynomials. |
| title_fullStr | Compact-open topology and application to approximation by polynomials. |
| title_full_unstemmed | Compact-open topology and application to approximation by polynomials. |
| title_short | Compact-open topology and application to approximation by polynomials. |
| title_sort | compact open topology and application to approximation by polynomials |
| url | https://ir.knust.edu.gh/handle/123456789/1595 |
| work_keys_str_mv | AT adjeiaaron compactopentopologyandapplicationtoapproximationbypolynomials |