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master's thesis
Poopćene konveksne funkcije
2019. urn:nbn:hr:166:507092
Milat, Josipa
University of Split
Faculty of Science
Department of Mathematics

Cite this document

Milat, J. (2019). Poopćene konveksne funkcije (Master's thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:507092

Milat, Josipa. "Poopćene konveksne funkcije." Master's thesis, University of Split, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:166:507092

Milat, Josipa. "Poopćene konveksne funkcije." Master's thesis, University of Split, Faculty of Science, 2019. https://urn.nsk.hr/urn:nbn:hr:166:507092

Milat, J. (2019). 'Poopćene konveksne funkcije', Master's thesis, University of Split, Faculty of Science, accessed 26 December 2024, https://urn.nsk.hr/urn:nbn:hr:166:507092

Milat J. Poopćene konveksne funkcije [Master's thesis]. Split: University of Split, Faculty of Science; 2019 [cited 2024 December 26] Available at: https://urn.nsk.hr/urn:nbn:hr:166:507092

J. Milat, "Poopćene konveksne funkcije", Master's thesis, University of Split, Faculty of Science, Split, 2019. Available at: https://urn.nsk.hr/urn:nbn:hr:166:507092

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Metadata
TitlePoopćene konveksne funkcije
Title (english)Generalized convex functions
AuthorJosipa Milat
MentorMilica Klaričić Bakula (mentor)
Committee memberMilica Klaričić Bakula (predsjednik povjerenstva)
Committee memberMarko Matić (član povjerenstva)
Committee memberJurica Perić (član povjerenstva)
GranterUniversity of Split
Faculty of Science
(Department of Mathematics)
Split
Defense date and country2019-09-26, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom radu upoznajemo se s pojmom konveksnosti skupova, funkcija te s nekim poopćenim konveksnim funkcijama. Navedena su neka osnovna svojstva konveksnih funkcija kao i poopćenih konveksnih funkcija. U prvom poglavlju promatramo konveksne funkcije na realnom pravcu, njihovu neprekidnost, derivabilnost, njihov potporni pravac, neke karakterizacije, operacije koje čuvaju konveksnost, konjugirane konveksne funkcije. U drugom poglavlju navedena su neka osnovna svojstva konveksnih skupova. U trećem poglavlju proširujemo pojam konveksnosti na proizvoljni normirani linearni prostor, promatramo neprekidnost, diferencijabilnost te potporne funkcije konveksnih funkcija. U četvrtom poglavlju navodimo jedno poopćenje konveksnih funkcija, neka njegova svojstva te jednu daljnju generalizaciju.
Abstract (english)
In this paper we introduce the notion of convexity of sets, functions, and some generalized convex functions. Some basic properties of convex functions as well as generalized convex functions are given. In the first chapter we look at convex functions on the real line, their continuity, derivability, their supporting line, some characterizations, convex-preserving operations, conjugated convex functions. Chapter two lists some basic properties of convex sets. In Chapter Three, we extend the notion of convexity to an arbitrary normed linear space, observing continuity, differentiability, and supporting functions of convex functions. In the fourth chapter, we outline one generalization of convex functions, some of its properties, and one further generalization.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:507092
Study programmeTitle: Mathematics and Computer Science; specializations in: major in teaching
Course: major in teaching
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra edukacije matematike i informatike (magistar/magistra edukacije matematike i informatike)
Type of resourceText
File originBorn digital
Access conditionsAccess restricted to students and staff of home institution
Terms of useLicence In copyright icon
Created on2020-06-08 09:47:00