Riemann Type Integration for Functions of One Real Variable
| 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.department | Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics | en_US |
| 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.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 | https://hdl.handle.net/11129/3659 | |
| dc.language.iso | en | |
| dc.publisher | Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ) | en_US |
| dc.relation.publicationcategory | Tez | |
| 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 | Master Thesis |
