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undergraduate thesis
Diskretne nejednakosti
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. urn:nbn:hr:126:357064
Mandarić, Josipa
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 Informatics

Cite this document

Mandarić, J. (2017). Diskretne nejednakosti (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:357064

Mandarić, Josipa. "Diskretne nejednakosti." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:357064

Mandarić, Josipa. "Diskretne nejednakosti." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:357064

Mandarić, J. (2017). 'Diskretne nejednakosti', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 18 January 2025, https://urn.nsk.hr/urn:nbn:hr:126:357064

Mandarić J. Diskretne nejednakosti [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2017 [cited 2025 January 18] Available at: https://urn.nsk.hr/urn:nbn:hr:126:357064

J. Mandarić, "Diskretne nejednakosti", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:126:357064

Metadata
TitleDiskretne nejednakosti
Title (english)Discrete Inequalities
AuthorJosipa Mandarić
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
Cilj ovog završnog rada je dati pregled nekih diskretnih nejednakosti za realne i kompleksne brojeve. To uključuje nejednakosti između osnovnih sredina, Cauchyevu nejednakost i neka njezina poopćenja i profinjenja, Hölderovu nejednakost te nejednakost Minkowskog. Nadalje, rad obuhvaća Abelovu i Čebiševljevu nejednakost te Grüssovu i Biernacki nejednakost. Na kraju, donosi kratki pregled nejednakosti za konveksne funkcije kao što su Jensenova i Petrovićeva nejednakost.
Abstract (english)
The main purpose of this paper is to provide an overview of some discrete inequalities for real and complex numbers. These include: inequalities between elementary means, the Cauchy inequality as well as some refinements and generalisations of Cauchy inequality. Furthermore, the paper encompasses the Abel inequality, Čebyšev’s inequality,the Grüss inequality and the Biernacki inequality. Lastly, it brings brief survey of inequalities for convex functions such as Jensen’s inequality and the Petrović inequality.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:357064
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 on2017-11-10 11:10:26