Please use this identifier to cite or link to this item: https://research.matf.bg.ac.rs/handle/123456789/1143
Title: Inequalities of Karamata, Schur and Muirhead, and some applications
Authors: Kadelburg, Zoran 
Dukić, Dušan
Lukić, Milivoje
Matić, Ivan
Keywords: Divided difference;Karamata’s inequality;Muirhead’s inequality;Petrović’s inequality;Relation of majorization;Schur’s inequality;Steffensen’s inequality
Issue Date: 1-Jan-2005
Journal: Teaching of Mathematics
Abstract: 
Three classical general inequalities—those of Karamata, Schur and Muirhead—are proved in this article. They can be used in proving other inequalities, particularly those appearing as problems in mathematical competitions, including International Mathematical Olympiads. Some problems of this kind are given as examples. Several related inequalities—those of Petrović, Steffensen and Szegö—are treated, as well.
URI: https://research.matf.bg.ac.rs/handle/123456789/1143
ISSN: 14514966
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