Download
PDF 324.04 KB
undergraduate thesis
28   9
Discrete Inequalities
Josipa Mandarić (2017)
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics
Algebra and Calculus Research Group
Cite this document...

Mandarić, J. (2017). Diskretne nejednakosti (Undergraduate thesis). 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 20 February 2019, 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 2019 February 20] 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
AuthorJosipa Mandarić
Mentor(s)Mihaela Ribičić Penava (thesis advisor)
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.
Keywordsinequalities between elementary means Cauchy inequality Hölder’s inequality Čebyšev’s inequality the Abel inequality the Grüss inequality Jensen’s inequality the Petrović inequality
Parallel title (English)Discrete Inequalities
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
Lower level organizational unitsChair of Pure Mathematics
Algebra and Calculus Research Group
PlaceOsijek
StateCroatia
Scientific field, discipline, subdisciplineNATURAL SCIENCES
Mathematics
Mathematical Analysis
Study programme typeuniversity
Study levelundergraduate
Study programmeUniversity undergraduate study programme in mathematics
Academic title abbreviationuniv.bacc.math.
Genreundergraduate thesis
Language Croatian
Defense date2017-09-29
Parallel 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.
Parallel keywords (Croatian)Nejednakosti izmedu osnovnih sredina Cauchyeva nejednakost Hölderova nejednakost Cebiˇsevljeva nejednakost Abelova nejednakost G¨ussova nejednakost Jense- ˇ nova nejednakost Petrovićeva nejednakost.
Resource typetext
Access conditionOpen access
Terms of usehttp://rightsstatements.org/vocab/InC/1.0/
URN:NBNhttps://urn.nsk.hr/urn:nbn:hr:126:357064