Master'sOpen Access

Riemann Type Integration for Functions of One Real Variable

2014
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Advisor: Agamirza Bashirov

Abstract (EN)

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

Author

Dr. Recep Duranay

How to Cite

Recep Duranay (Master Thesis). Riemann Type Integration for Functions of One Real Variable, 2014, Eastern Mediterranean University, Department of Mathematics.

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