A Functional Inequality

In this paper we consider a functional inequality of the formf(x1+x2,y1+y2)≤f(x1,y1)+f(x2,y2), for each (xi,yi)∈C,i=1, 2, wheref:C→RandCis some cone inR2. If the functionfsatisfies some conditions we obtain the general solution.

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Bibliographische Detailangaben
Veröffentlicht in:	Journal of mathematical analysis and applications 1996, Vol.197 (2), p.489-494
Hauptverfasser:	SIMIC, S, RADENOVIC, S
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Finite differences and functional equations Mathematical analysis Mathematics Real functions Sciences and techniques of general use
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	In this paper we consider a functional inequality of the formf(x1+x2,y1+y2)≤f(x1,y1)+f(x2,y2), for each (xi,yi)∈C,i=1, 2, wheref:C→RandCis some cone inR2. If the functionfsatisfies some conditions we obtain the general solution.
ISSN:	0022-247X 1096-0813
DOI:	10.1006/jmaa.1996.0033