Soboljevljevi prostori

Vuković, Ivan

master's thesis

Soboljevljevi prostori

Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. urn:nbn:hr:126:956085

Vuković, Ivan

Josip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics

Institutional repository: Repository of School of Applied Mathematics and Informatics

Cite this document

APA 6th Edition

Vuković, I. (2024). Soboljevljevi prostori (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:956085

MLA 8th Edition

Vuković, Ivan. "Soboljevljevi prostori." Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:956085

Chicago 17th Edition

Vuković, Ivan. "Soboljevljevi prostori." Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2024. https://urn.nsk.hr/urn:nbn:hr:126:956085

Harvard

Vuković, I. (2024). 'Soboljevljevi prostori', Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, accessed 27 March 2025, https://urn.nsk.hr/urn:nbn:hr:126:956085

Vancouver

Vuković I. Soboljevljevi prostori [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics; 2024 [cited 2025 March 27] Available at: https://urn.nsk.hr/urn:nbn:hr:126:956085

IEEE

I. Vuković, "Soboljevljevi prostori", Master's thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, Osijek, 2024. Available at: https://urn.nsk.hr/urn:nbn:hr:126:956085

Cite this item: https://urn.nsk.hr/urn:nbn:hr:126:956085

Metadata

Title	Soboljevljevi prostori
Title (english)	Sobolev Spaces
Author	Ivan Vuković
Mentor	Krešimir Burazin (mentor)
Committee member	Ivana Crnjac (predsjednik povjerenstva)
Committee member	Krešimir Burazin (član povjerenstva)
Committee member	Jelena Jankov Pavlović (član povjerenstva)
Granter	Josip Juraj Strossmayer University of Osijek School of Applied Mathematics and Informatics Osijek
Defense date and country	2024-09-12, Croatia
Scientific / art field, discipline and subdiscipline	NATURAL SCIENCES Mathematics Mathematical Analysis
Abstract	U ovom radu najprije je uveden pojam slabe derivacije te su analizirani $L^{p}$ prostori i neka njihova svojstva, poput dualnosti, kako bi se dala podloga za proučavanje Soboljevljevih prostora koje označavamo s $W^{m,p}$ . Soboljevljevi prostori su, jednostavno rečeno, prostori funkcija koje pripadaju prostoru $L^{p}$ , a čije slabe derivacije, do nekog reda \|α\| također pripadaju $L^{p}$ prostoru. Analizirana je njihova dualnost i pokazano je da se funkcije iz tih prostora mogu... More
Abstract (english)	This paper first introduces the concept of weak derivatives and then examines $L^{p}$ spaces and their properties, such as duality, to lay the background for studying Sobolev spaces, denoted by $W^{m,p}$ . Sobolev spaces are, simply put, spaces of functions that belong to $L^{p}$ spaces, and whose weak derivatives, up to some order \|α\| also belong to $L^{p}$ . The duality of these spaces is analyzed, and it is demonstrated that functions in Sobolev spaces can be approximated by... More
Keywords
Keywords (english)
Language	croatian
URN:NBN	urn:nbn:hr:126:956085
Study programme	Title: Mathematics; specializations in: Financial and Statistical Mathematics, Mathematics and Computer Science, Industrial and Applied Mathematics Course: Financial and Statistical Mathematics Study programme type: university Study level: graduate Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resource	Text
File origin	Born digital
Access conditions	Open access
Terms of use
Created on	2024-09-23 09:40:39

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