Riemann Type Integration for Functions of One Real Variable

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dc.contributor.advisor	Bashirov, Agamirza
dc.contributor.author	Duranay, Recep
dc.date.accessioned	2018-05-18T10:48:22Z
dc.date.available	2018-05-18T10:48:22Z
dc.date.issued	2014-09
dc.date.submitted	2014-09
dc.identifier.citation	Duranay, Recep. (2014). Riemann Type Integration for Functions of One Real Variable . Thesis (M.S.), Eastern Mediterranean University, Institute of Graduate Studies and Research, Dept. of Mathematics, Famagusta: North Cyprus.	en_US
dc.identifier.uri	http://hdl.handle.net/11129/3659
dc.description	Master of Science in Mathematics. Thesis (M.S.)--Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics, 2014. Supervisor: Prof. Dr. Agamirza Bashirov.	en_US
dc.description.abstract	In this thesis, process of Riemann integral is tackled. Firstly, theorems and their proofs of Proper Riemann integral are explained. After that, improper Riemann integral with the same proof techniques is handled. Riemann Steiltjes integral with examples and theorems of continuous linear function in Riesz Representation theorem is explained. Finally, Kurzweil-Henstock and Lebesgue integrals are handled with theorems and proofs. Keywords: Riemann Integral, Riemann Steiltjes Integral, Riesz Representation Theorem, Kurzweil-Henstock and Lebesgue Integral	en_US
dc.description.abstract	ÖZ : Bu tezde Riemann integralinin ba¸slangıcından geli¸simin günümüze kadar olan süreci i¸slenmi¸stir. ˙Ilk olarak teoremler ve ispatlarıyla has Riemann integrali açıklanmı¸stır. Aynı ispat tekni˘gi ile sınırsız alanda has olmayan Riemann ˙Integrali ele alınmı¸stır. Sürekli linear fonksiyonların Riesz gösteriminden yardım alarak Riemann Steiltjes integrali anlatılmı¸stır. Son olarak Kurzweil-Henstock ve Lebesgue’nin uygulamarıyla tezde amaçlanan hedefe ula¸sılmı¸stır. Anahtar kelimeler: Riemann ˙Integral’i, Riemann Steiltjes ˙Integral’i, Riesz Gösterimi, Kurzweil-Henstock ve Lebesgue˙Integral’i	en_US
dc.language.iso	eng	en_US
dc.publisher	Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ)	en_US
dc.rights	info:eu-repo/semantics/openAccess	en_US
dc.subject	Mathematics	en_US
dc.subject	Integrals	en_US
dc.subject	Riemann Integral	en_US
dc.subject	Riemann Steiltjes Integral	en_US
dc.subject	Riesz Representation Theorem	en_US
dc.subject	Kurzweil-Henstock and Lebesgue Integral	en_US
dc.title	Riemann Type Integration for Functions of One Real Variable	en_US
dc.type	masterThesis	en_US
dc.contributor.department	Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics	en_US