Lebesgue constants on cantor type sets

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buir.advisorGoncharov, Alexander
dc.contributor.authorPaksoy, Yaman
dc.date.accessioned2020-09-21T07:43:20Z
dc.date.available2020-09-21T07:43:20Z
dc.date.copyright2020-09
dc.date.issued2020-09
dc.date.submitted2020-09-18
dc.descriptionCataloged from PDF version of article.en_US
dc.descriptionThesis (M.S.): Bilkent University, Department of Mathematics, İhsan Doğramacı Bilkent University, 2020.en_US
dc.descriptionIncludes bibliographical references (leave 40-42).en_US
dc.description.abstractThe 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.provenanceSubmitted by Betül Özen (ozen@bilkent.edu.tr) on 2020-09-21T07:43:20Z No. of bitstreams: 1 10357870.pdf: 553462 bytes, checksum: 21f3e44bbfa2e4b6f1b3e4cd9861a192 (MD5)en
dc.description.provenanceMade available in DSpace on 2020-09-21T07:43:20Z (GMT). No. of bitstreams: 1 10357870.pdf: 553462 bytes, checksum: 21f3e44bbfa2e4b6f1b3e4cd9861a192 (MD5) Previous issue date: 2020-09en
dc.description.statementofresponsibilityby Yaman Paksoyen_US
dc.embargo.release2021-03-18
dc.format.extentviii, 42 leaves : charts ; 30 cm.en_US
dc.identifier.itemidB160498
dc.identifier.urihttp://hdl.handle.net/11693/54060
dc.language.isoEnglishen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectLebesgue constantsen_US
dc.subjectCantor type setsen_US
dc.subjectFaber basisen_US
dc.subjectLagrange interpolationen_US
dc.titleLebesgue constants on cantor type setsen_US
dc.title.alternativeKantor tipi kümelerde Lebesgue sabitlerien_US
dc.typeThesisen_US
thesis.degree.disciplineMathematics
thesis.degree.grantorBilkent University
thesis.degree.levelMaster's
thesis.degree.nameMS (Master of Science)

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