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undergraduate thesis
Primjene nejednakosti na probleme optimizacije u ekonomiji
2023. urn:nbn:hr:126:521369
Jularić, Filip
Josip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics

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Jularić, F. (2023). Primjene nejednakosti na probleme optimizacije u ekonomiji (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:521369

Jularić, Filip. "Primjene nejednakosti na probleme optimizacije u ekonomiji." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2023. https://urn.nsk.hr/urn:nbn:hr:126:521369

Jularić, Filip. "Primjene nejednakosti na probleme optimizacije u ekonomiji." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, 2023. https://urn.nsk.hr/urn:nbn:hr:126:521369

Jularić, F. (2023). 'Primjene nejednakosti na probleme optimizacije u ekonomiji', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, accessed 02 May 2024, https://urn.nsk.hr/urn:nbn:hr:126:521369

Jularić F. Primjene nejednakosti na probleme optimizacije u ekonomiji [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics; 2023 [cited 2024 May 02] Available at: https://urn.nsk.hr/urn:nbn:hr:126:521369

F. Jularić, "Primjene nejednakosti na probleme optimizacije u ekonomiji", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, School of Applied Mathematics and Informatics, Osijek, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:126:521369

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Metadata
TitlePrimjene nejednakosti na probleme optimizacije u ekonomiji
Title (english)Applications Of Inequalities In Optimization Problems In Economics
AuthorFilip Jularić
MentorMihaela Ribičić Penava (mentor)
GranterJosip Juraj Strossmayer University of Osijek
School of Applied Mathematics and Informatics
Osijek
Defense date and country2023-09-29, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Applied Mathematics and Mathematical Modeling
Abstract
Diferencijalni račun je alat koji se koristi u ekonomiji pri rješavanju problema minimizacije troškova, ali nije jedini. Kao njegove alternative pri rješavanju problema optimizacije u ekonomiji, javljaju se primjene poznatih nejednakosti kao što su aritmetičkogeometrijska nejednakost, Cauchy-Schwarz-Buniakowsky nejednakost i Höderova nejednakost. Primjena navedenih nejednakosti zamjenjuje diferencijalni račun koji je nerijetko kompliciran i netrivijalan. U radu su dani iskazi i dokazi ovih nejednakosti kao i njihova primjena na konkretnim primjerima koje nam donosi svakodnevica. Na taj način ćemo moći vidjeti prednosti koje navedene nejednakosti imaju nad diferencijalnim računom.
Abstract (english)
Differential calculus is a tool used in economics for solving cost-minimization problems, but it’s not the only one. As alternatives for solving optimization problems in economics, there are applications of well-known inequalities such as the arithmetic-geometric inequality, Cauchy-Schwarz-Buniakowsky inequality and H¨older’s inequality. The application of these inequalities replaces differential calculus, which is often complicated and nontrivial. This paper provides statements and proofs of these inequalities and their application to concrete examples from everyday life. In this way, we can see the advantages that these inequalities have over differential calculus.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:521369
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 on2023-10-20 10:24:49