Research Topics for Undergraduate Thesis in Analysis

TOPICS OF BACHELOR THESIS IN ANALYSIS, OFFERED IN 2017
Supervisor: Umi Mahnuna Hanung
E-mail Address: hanungum@ugm.ac.id
Website: umimahnunahanung.staff.ugm.ac.id
(announced on 24th January, 2017)

 

1. The Riemann-Stieltjes Integral on Time Scales (the main reference issued in 2009)


2. On Bounded Semivariation and Simply-regulated Functions (the main reference issued in 1991 and 2015)


3. Regulated Functions and the Perron-Stieltjes Integral (the main reference issued in 1989)


4. Comparison of Young and Kurzweil-Stieltjes Integrals (the main reference issued in 1973 and 2002)


5. A study of the Kurzweil-Stieltjes Integral for Banach Space Valued Functions (the main reference issued in 1996 and 2010)


6. Linear Stieltjes Integral Equations in Banach Spaces (the main reference issued in 2000)


7. A Mathematical History of the Appearance of the Generalized Riemann Integration (the main references issued in 1957 and 2015)


8. The Lebesgue Integral with Nice Examples (the main reference issued in 2016)


9. Integration by Parts for Abstract Kurzweil-Stieltjes Integrals (the main reference issued in 2001)


10. Generalized Variational Inequalities (the main reference issued in 2002)


11. The Kurzweil-Stieltjes Integral and Hysteresis (the main reference issued in 2006)


12. An Application of the Kurzweil-Stieltjes Integral in Financial Market Modeling (the main reference issued in 2016)