Lebesgue constants on cantor type sets
| buir.advisor | Goncharov, Alexander | |
| dc.contributor.author | Paksoy, Yaman | |
| dc.date.accessioned | 2020-09-21T07:43:20Z | |
| dc.date.available | 2020-09-21T07:43:20Z | |
| dc.date.copyright | 2020-09 | |
| dc.date.issued | 2020-09 | |
| dc.date.submitted | 2020-09-18 | |
| dc.department | Department of Mathematics | en_US |
| dc.description | Cataloged from PDF version of article. | en_US |
| dc.description | Thesis (M.S.): Bilkent University, Department of Mathematics, İhsan Doğramacı Bilkent University, 2020. | en_US |
| dc.description | Includes bibliographical references (leave 40-42). | en_US |
| dc.description.abstract | The properties of compact subsets of the real line which are in the class of Bounded Lebesgue Constants (BLC) are investigated. Knowing that any such set must have 1-dimensional Lebesgue measure zero and nowhere density, and the fact that there are examples of countable sets both inside and outside of the class BLC, families of Cantor-type sets were focused on. Backed up by numerical experiments (up to degree 128) and analytical results, the conjecture “there exists no perfect set in BLC” was put forward. | en_US |
| dc.description.degree | M.S. | en_US |
| dc.description.statementofresponsibility | by Yaman Paksoy | en_US |
| dc.embargo.release | 2021-03-18 | |
| dc.format.extent | viii, 42 leaves : charts ; 30 cm. | en_US |
| dc.identifier.itemid | B160498 | |
| dc.identifier.uri | http://hdl.handle.net/11693/54060 | |
| dc.language.iso | English | en_US |
| dc.publisher | Bilkent University | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Lebesgue constants | en_US |
| dc.subject | Cantor type sets | en_US |
| dc.subject | Faber basis | en_US |
| dc.subject | Lagrange interpolation | en_US |
| dc.title | Lebesgue constants on cantor type sets | en_US |
| dc.title.alternative | Kantor tipi kümelerde Lebesgue sabitleri | en_US |
| dc.type | Thesis | en_US |