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master's thesis
Jedna generalizacija konveksnih funkcija
Zagreb: University of Zagreb, Faculty of Science, 2015. urn:nbn:hr:217:097634
Mrvičić, Ivana
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Mrvičić, I. (2015). Jedna generalizacija konveksnih funkcija (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:097634

Mrvičić, Ivana. "Jedna generalizacija konveksnih funkcija." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:097634

Mrvičić, Ivana. "Jedna generalizacija konveksnih funkcija." Master's thesis, University of Zagreb, Faculty of Science, 2015. https://urn.nsk.hr/urn:nbn:hr:217:097634

Mrvičić, I. (2015). 'Jedna generalizacija konveksnih funkcija', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:097634

Mrvičić I. Jedna generalizacija konveksnih funkcija [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2015 [cited 2024 November 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:097634

I. Mrvičić, "Jedna generalizacija konveksnih funkcija", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2015. Available at: https://urn.nsk.hr/urn:nbn:hr:217:097634

Metadata
TitleJedna generalizacija konveksnih funkcija
AuthorIvana Mrvičić
MentorSanja Varošanec (mentor)
Committee memberSanja Varošanec (predsjednik povjerenstva)
Committee memberIvica Nakić (član povjerenstva)
Committee memberVedran Krčadinac (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2015-11-27, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
U ovom radu opisan je jedan način poopćenja pojma konveksnih funkcija koji su opisali Hudzik i Maligranda 1994. godine. Rad se sastoji od tri poglavlja. U uvodu je ukratko opisana tema i cilj rada. Prvo poglavlje sadrži definicije i svojstva s-konveksnih funkcija u prvom i drugom smislu. U drugom poglavlju dokazani su rezultati samo za s-konveksne funkcije u drugom smislu kao što su Jensenova i Hermite-Hadamardova nejednakost, te su dane različite ocjene za razlike lijeve i desne strane Hermite-Hadamardove nejednakosti. U trećem poglavlju izloženi su rezultati za s-konveksne funkcije u prvom smislu.
Abstract (english)
In this thesis we describe one generalization of convex function which was introduced by Hudzik and Maligranda in 1994. The thesis consists of three chapters. In the first chapter we give definitions and some properties of s-convex functions in the first and the second sense. In the second chapter results for s-convex functions in the second sense are proven such as Jensen’s and HermiteHadamard’s inequality. Also there are given different estimates for differences between the left-hand and the right-hand sides of Hermite-Hadamard’s inequality. In the third chapter the results for s-convex functions in the first sense are given.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:097634
Study programmeTitle: Mathematics Education; specializations in: Mathematics Education
Course: Mathematics Education
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 conditionsOpen access
Terms of useLicence In copyright icon
Created on2019-01-25 13:00:51