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undergraduate thesis
Fourierovi polinomi
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2021. urn:nbn:hr:126:701086
Jolić, Elza
Josip Juraj Strossmayer University of Osijek
Department of Mathematics

Institutional repository: Repository of School of Applied Mathematics and Informatics

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Jolić, E. (2021). Fourierovi polinomi (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:701086

Jolić, Elza. "Fourierovi polinomi." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2021. https://urn.nsk.hr/urn:nbn:hr:126:701086

Jolić, Elza. "Fourierovi polinomi." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2021. https://urn.nsk.hr/urn:nbn:hr:126:701086

Jolić, E. (2021). 'Fourierovi polinomi', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 21 December 2024, https://urn.nsk.hr/urn:nbn:hr:126:701086

Jolić E. Fourierovi polinomi [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2021 [cited 2024 December 21] Available at: https://urn.nsk.hr/urn:nbn:hr:126:701086

E. Jolić, "Fourierovi polinomi", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:126:701086

Metadata
TitleFourierovi polinomi
Title (english)Fourier Polynomials
AuthorElza Jolić
MentorTomislav Marošević (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
Osijek
Defense date and country2021-09-30, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Numerical Mathematics
Abstract
Povijesno gledano, Fourierov polinom izveden je iz Fourierovog reda koji je nastao u svrhu matemaričkog modela za rješavanja problema provođenja topline u metalnoj pločici. U radu smo najprije pobliže objasnili temeljne dijelove za postojanje Fourierovih polinoma počevši s periodičnosti, a zatim smo se osvrnuli na aproksimaciju funkcije trigonometrijskim polinomom. Tako smo došli do trigonometrijskog polinoma koji nam pomaže pri zapisu i izračunu Fourierovog polinoma. Na samom kraju smo se dotakli Fourierovog reda iz kojega u konačnici možemo dobiti dovoljno dobru aproksimaciju funkcije.
Abstract (english)
The Fourier polynomial is derived from the Fourier series which was developed for the purpose of a mathematical model for solving the problem of heat conduction in a metal plate. In this paper, we first explain in more detail the fundamental parts for the existence of Fourier polynomials starting from periodicity and then we look at the approximation of a function by a trigonometric polynomial. So we came up with a trigonometric polynomial that helps us to write and calculate a Fourier polynomial. In the end, we touched a little on the Fourier Order, which ultimately give us approximation of function that is good enough.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:701086
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 on2021-11-11 07:51:18