prikaz prve stranice dokumenta Hermite-Hadamardova nejednakost
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master's thesis
Hermite-Hadamardova nejednakost
2019. urn:nbn:hr:166:368768
Bekavac, Matea
University of Split
Faculty of Science
Department of Mathematics

Cite this document

Bekavac, M. (2019). Hermite-Hadamardova nejednakost (Master's thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:368768

Bekavac, Matea. "Hermite-Hadamardova nejednakost." Master's thesis, University of Split, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:166:368768

Bekavac, Matea. "Hermite-Hadamardova nejednakost." Master's thesis, University of Split, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:166:368768

Bekavac, M. (2019). 'Hermite-Hadamardova nejednakost', Master's thesis, University of Split, Faculty of Science, accessed 13 November 2024, https://urn.nsk.hr/urn:nbn:hr:166:368768

Bekavac M. Hermite-Hadamardova nejednakost [Master's thesis]. Split: University of Split, Faculty of Science; 2019 [cited 2024 November 13] Available at: https://urn.nsk.hr/urn:nbn:hr:166:368768

M. Bekavac, "Hermite-Hadamardova nejednakost", Master's thesis, University of Split, Faculty of Science, Split, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:166:368768

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Metadata
TitleHermite-Hadamardova nejednakost
Title (english)Hermite-Hadamard's inequality
AuthorMatea Bekavac
MentorJurica Perić (mentor)
Committee memberJurica Perić (predsjednik povjerenstva)
Committee memberMilica Klaričić Bakula (član povjerenstva)
Committee memberMarija Bliznac Trebješanin (član povjerenstva)
GranterUniversity of Split
Faculty of Science
(Department of Mathematics)
Split
Defense date and country2019-07-16, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Glavni cilj ovoga rada je prikazati razvoj Hermite - Hadamardove nejednakosti te njenih brojnih generalizacija i poboljšanja. Na početku rada definirane su konveksne funkcije i prikazane njihove karakterizacije. U nastavku je istaknuto nekoliko nejednakosti vezanih uz konveksne funkcije. Središnji dio rada posvećen je samoj Hermite - Hadamardovoj nejednakosti, počevši od povijesnog uvoda pa sve do njenih raznih oblika vezanih za log - konveksne, Jensen - kvazi - konveksne i Wright - kvazi - konveksne funkcije. Nadalje, prikazano je nekoliko generalizacija i profinjenja Hermite - Hadamardove nejednakosti, dok su na samom kraju rada navedene neke njene primjene.
Abstract (english)
The main aim of this paper is to show the development of Hermite - Hadamard’s inequality and its numerous generalizations and improvements. At the beginning of the paper, the convex functions are defined and their characterization is shown. Also, some inequalities related to convex functions are emphasized. The central part of the paper focuses on Hermite - Hadamard’s inequality, starting from the historical introduction to its various forms connected to log - convex, Jensen - quasi - convex and Wright - quasi - convex functions. Furthermore, several generalizations and refinements of Hermite - Hadamard inequalities have been shown, while some of its applications are at the very end of the paper.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:368768
Study programmeTitle: Mathematics; specializations in: major in pure mathematics, major in computing, major in teaching
Course: major in teaching
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra edukacije matematike (magistar/magistra edukacije matematike)
Type of resourceText
File originBorn digital
Access conditionsAccess restricted to students and staff of home institution
Terms of useLicence In copyright icon
Created on2020-06-05 11:54:56