Browsing by Author "Paksoy, Yaman"

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    Ankara Gümrüğü ve Onar Ltd. üzerinden Cumhuriyet öncesi ve sonrası Türk gümrük tarihi ve gümrük birliği etkileri
    (Bilkent University, 2016) Atlı, Buğrahan; Onar, Berk; Paksoy, Yaman; Öncü, Ömer; Sürmeli, Ali Eren
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    Lebesgue constants for cantor sets
    (Taylor & Francis Inc., 2024-08-18) Goncharov, Alexander; Paksoy, Yaman
    We evaluate the values of the Lebesgue constants in polynomial interpolation for three types of Cantor sets. In all cases, the sequences of Lebesgue constants are not bounded. This disproves the statement by Mergelyan.
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    Lebesgue constants on cantor type sets
    (2020-09) Paksoy, Yaman
    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.
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    Pawłucki–Pleśniak extension operator for non-Markov sets
    (Polska Akademia Nauk * Instytut Matematyczny, Polish Academy of Sciences, Institute of Mathematics, 2024-01-29) Goncharov, Alexander; Paksoy, Yaman
    We show that Pawłucki–Pleśniak’s operator is bounded for some non-Markov sets.