Funkcionalne jednadžbe pridružene nekim teoremima srednje vrijednosti

Grozdek, Daria (2015) Funkcionalne jednadžbe pridružene nekim teoremima srednje vrijednosti. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

In this graduate thesis we examine functional equations motivated by certain mean value theorems. In the first chapter we describe some methods of solving functional equations, and thoroughly examine Cauchy’s linear and exponential functional equations. In the second chapter we examine the mean value theorems - Rolle’s, Lagrange’s, Cauchy’s and Pompeiu’s. Except for the proofs and geometrical interpretations of all theorems, we give some examples solved by using Lagrange’s mean value theorem. In the third chapter we study functional equations associated with Lagrange’s and Pompeiu’s mean value theorem.

Item Type: Thesis (Diploma thesis)
Supervisor: Arambašić, Ljiljana
Date: 2015
Number of Pages: 33
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 12 Oct 2015 13:03
Last Modified: 12 Oct 2015 13:03
URI: http://digre.pmf.unizg.hr/id/eprint/4273

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