Jedna generalizacija konveksnih funkcija

Mrvičić, Ivana (2015) Jedna generalizacija konveksnih funkcija. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

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.

Item Type: Thesis (Diploma thesis)
Supervisor: Varošanec, Sanja
Date: 2015
Number of Pages: 41
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 19 Jan 2016 11:06
Last Modified: 19 Jan 2016 11:06
URI: http://digre.pmf.unizg.hr/id/eprint/4378

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