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undergraduate thesis
Konveksnost u normiranom prostoru
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2018. urn:nbn:hr:126:592533
Habijanić, Ana
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Applied Mathematics and Computer Science
Geometry and Mathematics Teaching Mathematics Research Group

Institutional repository: Repository of School of Applied Mathematics and Informatics

Cite this document

Habijanić, A. (2018). Konveksnost u normiranom prostoru (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:592533

Habijanić, Ana. "Konveksnost u normiranom prostoru." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2018. https://urn.nsk.hr/urn:nbn:hr:126:592533

Habijanić, Ana. "Konveksnost u normiranom prostoru." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2018. https://urn.nsk.hr/urn:nbn:hr:126:592533

Habijanić, A. (2018). 'Konveksnost u normiranom prostoru', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 08 January 2025, https://urn.nsk.hr/urn:nbn:hr:126:592533

Habijanić A. Konveksnost u normiranom prostoru [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2018 [cited 2025 January 08] Available at: https://urn.nsk.hr/urn:nbn:hr:126:592533

A. Habijanić, "Konveksnost u normiranom prostoru", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2018. Available at: https://urn.nsk.hr/urn:nbn:hr:126:592533

Metadata
TitleKonveksnost u normiranom prostoru
Title (english)Convexity in normed space
AuthorAna Habijanić
MentorSuzana Miodragović (mentor)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Applied Mathematics and Computer Science)
(Geometry and Mathematics Teaching Mathematics Research Group)
Osijek
Defense date and country2018-09-25, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Algebra
Abstract
U ovom radu deniratćemo normiran prostor i na njemu opisati konveksnost sa pripadnim svojstvima. U uvodnom dijelu rada navest ćemo neke osnovne denicije kao što su denicija vektorskog i unitarnog prostora. Nakon toga, denirat ćemo normu te normirani prostor. Objasnit ćemo što su to konveksan skup, konvkeksna kombinacija i konveksna ljuska i pokušat ćemo približiti te pojmove primjerima. U zadnjem dijelu denirat ćemo strogo konveksan prostor i uniformno konveksan prostor.
Abstract (english)
In this paper we will dene the standard space and describe the convexity with the associated properties on it. In the introduction part of this paper we will investigate basic denitions such as denition of vector and unitary space. After that, we will dene norm and standard space. We will explain what convex set, convex combination and convex hull are and approach these concepts to the examples. In the last part of the paper we will dene a strictly convex space and a uniformly convex space.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:592533
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
Terms of useLicence In copyright icon
Created on2018-10-18 07:09:21