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master's thesis
Ortogonalni polinomi
2016. urn:nbn:hr:126:113224
Volmut, Valentina
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics and Mathematics Teaching
Algebra, Analysis and Number Theory Research Group

Cite this document

Volmut, V. (2016). Ortogonalni polinomi (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:113224

Volmut, Valentina. "Ortogonalni polinomi." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2016. https://urn.nsk.hr/urn:nbn:hr:126:113224

Volmut, Valentina. "Ortogonalni polinomi." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2016. https://urn.nsk.hr/urn:nbn:hr:126:113224

Volmut, V. (2016). 'Ortogonalni polinomi', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 24 December 2024, https://urn.nsk.hr/urn:nbn:hr:126:113224

Volmut V. Ortogonalni polinomi [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2016 [cited 2024 December 24] Available at: https://urn.nsk.hr/urn:nbn:hr:126:113224

V. Volmut, "Ortogonalni polinomi", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:126:113224

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Metadata
TitleOrtogonalni polinomi
Title (english)Orthogonal polynomials
AuthorValentina Volmut
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 country2016-09, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Numerical Mathematics
Abstract
Ortogonalni polinomi su posebna vrsta polinoma koji su otrkiveni prilikom rješavanja određenih diferecijalnih jednadžbi. Cilj ovog diplomskog rada je dati pregled klasičnih ortogonalnih polinoma kao što su: Čebiševljevi polinomi prve i druge vrste, Laguerrovi polinomi, Hermiteovi polinomi i Legendreovi polinomi. Osim definicija, za sve ortogonalne polinome navedene su pripadne funkcije izvodnice i rekurzivne relacije. Završni dio rada posvećen je primjenama ortogonalnih polinoma kod približnog računanja odredenih integrala, odnosno kod Gaussovih kvadraturnih formula koje imaju veliku primjenu u numeričkoj matematici.
Abstract (english)
Orthogonal polynomials are special type of polynomials which are discovered by solving determinate differencial equations. As a main point of this masters thesis is to represent classical orthogonal polynomials like: Chebyshev Polynomials of the First Kind, Chebyshev Polynomials of the Second Kind, Laguerre Polynomials, Hermite Polynomials and Legendre Polynomials. For this orthogonal polynomials are listed related generating functions and recurrence relations, apart from definitions. Concluding part of this masters thesis is to dedicate application of orthogonal polynomials at approximation calculating definite integral, apropos Gaussian quadrature formulas which have big application in numerical mathematics.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:113224
Study programmeTitle: Mathematics and Computer Science
Study programme type: university
Study level: integrated undergraduate and graduate
Academic / professional title: magistar/magistra edukacije matematike i informatike (magistar/magistra edukacije matematike i informatike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2016-10-18 06:48:49