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undergraduate thesis
Nejednakosti za Gama i Beta funkcije
2018. urn:nbn:hr:126:779036
Bastijan, Tea
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics and Mathematics Teaching
Algebra, Analysis and Number Theory Research Group

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Bastijan, T. (2018). Nejednakosti za Gama i Beta funkcije (Undergraduate thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:779036

Bastijan, Tea. "Nejednakosti za Gama i Beta funkcije." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2018. https://urn.nsk.hr/urn:nbn:hr:126:779036

Bastijan, Tea. "Nejednakosti za Gama i Beta funkcije." Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2018. https://urn.nsk.hr/urn:nbn:hr:126:779036

Bastijan, T. (2018). 'Nejednakosti za Gama i Beta funkcije', Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 15 January 2025, https://urn.nsk.hr/urn:nbn:hr:126:779036

Bastijan T. Nejednakosti za Gama i Beta funkcije [Undergraduate thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2018 [cited 2025 January 15] Available at: https://urn.nsk.hr/urn:nbn:hr:126:779036

T. Bastijan, "Nejednakosti za Gama i Beta funkcije", Undergraduate thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2018. Available at: https://urn.nsk.hr/urn:nbn:hr:126:779036

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Metadata
TitleNejednakosti za Gama i Beta funkcije
Title (english)Inequalities for Gamma and Beta Functions
AuthorTea Bastijan
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 country2018-09-20-09-20, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Other Mathematical Disciplines
Abstract
U ovome radu ukratko ćemo obraditi definiciju i osnovna svojstva gama i beta funkcija. Navest ćemo nekoliko osnovnih nejednakosti, te iskazati Čebiševljevu, Hölderovu i Grüssovu nejednakost. Pokazat ćemo nejednakosti za gama i beta funkcije izvedene primjenom Čebiševljeve nejednakosti na funkcije iste odnosno različite monotonosti. Dokazat ćemo log - konveksnost gama i beta funkcija. Na kraju rada ćemo iz Grüssove nejednakosti izvesti nekoliko nejednakosti.
Abstract (english)
In this paper we will process definition and elementary properties of Gamma and Beta functions. We will present some basic inequalities. Then, we will state Chebychev’s, Hölder’s and Grüss’ inequality. We will show inequalities for Gamma and Beta functions which can be derived from Chebychev’s inequality for synchronous and asynchronous functions. We will prove that Gamma and Beta functions are logarithmically convex. In the last chapter of this paper we will prove some general inequalities derived from Grüss’ inequality.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:779036
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 08:14:44