Özfidan, Necip2016-01-082016-01-082013http://hdl.handle.net/11693/15966Ankara : The Department of Mathematics and the Graduate School of Engineering and Science of Bilkent University, 2013.Thesis (Ph. D.) -- Bilkent Universty, 2013.Includes bibliographical references leaves 77-79.We construct Schauder bases in the spaces of continuous functions C p (K) and in the Whitney spaces E p (K) where K is a Cantor-type set. Here different Cantortype sets are considered. In the construction, local Taylor expansions of functions are used. Also we show that the Schauder basis which we constructed in the space Cp(K), is conditional.x, 79 leaves, graphicsEnglishinfo:eu-repo/semantics/openAccessSchauder basesCantor setsWhitney spacesCp−spacesQA614.8 .O941 2013Cantor sets.Banach spaces.Schauder basesThesis