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master's thesis
Varijante Hermite-Hadamardove nejednakosti
2023. urn:nbn:hr:166:994881
Margaretić, Ivana
University of Split
Faculty of Science
Department of Mathematics

Cite this document

Margaretić, I. (2023). Varijante Hermite-Hadamardove nejednakosti (Master's thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:994881

Margaretić, Ivana. "Varijante Hermite-Hadamardove nejednakosti." Master's thesis, University of Split, Faculty of Science, 2023. https://urn.nsk.hr/urn:nbn:hr:166:994881

Margaretić, Ivana. "Varijante Hermite-Hadamardove nejednakosti." Master's thesis, University of Split, Faculty of Science, 2023. https://urn.nsk.hr/urn:nbn:hr:166:994881

Margaretić, I. (2023). 'Varijante Hermite-Hadamardove nejednakosti', Master's thesis, University of Split, Faculty of Science, accessed 14 November 2024, https://urn.nsk.hr/urn:nbn:hr:166:994881

Margaretić I. Varijante Hermite-Hadamardove nejednakosti [Master's thesis]. Split: University of Split, Faculty of Science; 2023 [cited 2024 November 14] Available at: https://urn.nsk.hr/urn:nbn:hr:166:994881

I. Margaretić, "Varijante Hermite-Hadamardove nejednakosti", Master's thesis, University of Split, Faculty of Science, Split, 2023. Available at: https://urn.nsk.hr/urn:nbn:hr:166:994881

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Metadata
TitleVarijante Hermite-Hadamardove nejednakosti
Title (english)Variants of the Hermite-Hadamard inequality
AuthorIvana Margaretić
MentorJurica Perić (mentor)
Committee memberJurica Perić (predsjednik povjerenstva)
Committee memberMilica Klaričić Bakula (član povjerenstva)
Committee memberAna Laštre (član povjerenstva)
GranterUniversity of Split
Faculty of Science
(Department of Mathematics)
Split
Defense date and country2023-07-14, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Ovaj rad istražuje ključni pojam konveksnih funkcija u matematičkoj analizi i optimizaciji, s fokusom na Hermitovu-Hadamardovu nejednakost. Cilj rada je proučiti generalizacije Hermite-Hadamardove nejednakosti, procijeniti njihovu preciznost i promjene rezultata u kontekstu različitih vrsta konveksnosti. Također, želi se proširiti primjenjivost Hermitove-Hadamardove nejednakosti na različite klase konveksnih funkcija i istražiti kako različite vrste konveksnosti utječu na tu nejednakost.
Abstract (english)
This paper explores the key notion of convex functions in mathematical analysis and optimization, with a focus on the Hermit-Hadamard inequality. The aim of the paper is to study the generalizations of the Hermit-Hadamard inequality, evaluate their precision and changes in results in the context of different types of convexity. Additionally, it aims to extend the applicability of the Hermit-Hadamard inequality to various classes of convex functions and investigate how different types of convexity influence this inequality.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:994881
Study programmeTitle: Mathematics; specializations in: major in pure mathematics, major in computing, major in teaching, major in statistics and computing
Course: major in statistics and computing
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence Attribution 4.0 International (CC BY 4.0) icon
Created on2023-07-14 11:00:04