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undergraduate thesis
Riemann - Stieltjesov integral
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. urn:nbn:hr:126:336725
Strmečki, Josip
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics and Mathematics Teaching
Algebra, Analysis and Number Theory Research Group

Institutional repository: Repository of School of Applied Mathematics and Computer Science

Cite this document

Strmečki, J. (2017). Riemann - Stieltjesov integral (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:336725

Strmečki, Josip. "Riemann - Stieltjesov integral." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:336725

Strmečki, Josip. "Riemann - Stieltjesov integral." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:336725

Strmečki, J. (2017). 'Riemann - Stieltjesov integral', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 17 July 2024, https://urn.nsk.hr/urn:nbn:hr:126:336725

Strmečki J. Riemann - Stieltjesov integral [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2017 [cited 2024 July 17] Available at: https://urn.nsk.hr/urn:nbn:hr:126:336725

J. Strmečki, "Riemann - Stieltjesov integral", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:126:336725

Metadata
TitleRiemann - Stieltjesov integral
Title (english)Riemann - Stieltjes Integral
AuthorJosip Strmečki
MentorMihaela Ribičić Penava (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics and Mathematics Teaching)
(Algebra, Analysis and Number Theory Research Group)
Osijek
Defense date and country2017-09-29, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Mathematical Analysis
Abstract
U radu ćemo se baviti Riemann-Stieltjesovim integralom, njegovim svojstvima i primjenama. Dovest ćemo u vezu Lebesgue-Stieltjesov i Riemann-Stieltjesov integral, kao i Riemann-Stieltjesov i Riemannov integral. Definirat cemo pojmove kao što su matematičko o čekivanje, Lebesgue- Stieltjesova mjera, disperzija, Lebesgue-Stieltjesov integral, te Lebesgueov integral kao poseban slučaj prethodno navedenog integrala. Najbitnije tvrdnje i teoreme, kao i svojstva Riemann- Stieltjesovog integrala ćemo dokazati. Također, uz primjere i zadatke pokazat ćemo kako se Riemann-Stieltjes integral koristi u praksi.
Abstract (english)
In this work our topic will be Riemann-Stieltjes integral, it’s properties and applications.We will show the difference between Lebesgue-Stieltjes and Riemann-Stieltjes integral, as well as difference between Riemann-Stieltjes and Riemann integral. We will define terms such as mathematical expectation, Lebesgue-Stieltjes integral and Lebesgue integral as special case of LebesgueStieltjes integral. Most important claims and theorems, as well as properties of Riemann-Stieltjes integral will be proved. Also, through examples and tasks we will demonstrate how is RiemannStieltjes integral used in practice.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:336725
Study programmeTitle: University undergraduate study programme in mathematics
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
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Created on2017-11-29 08:54:17