The general solution of a functional equation related to the characterizations of bivariate distributions

The general solution of a functional equation related to the characterizations of bivariate distributions

The functional equation G1(x+1/y) + F1(y) = G2(y+1/x) + F2(x) related to the characterizations of bivariate distributions is investigated for functions Gi, Fi:real set+ maps into real set(i=1,2) and for functions Gi, Fi : T+ maps into A (where T+ is the set of positive elements in an ordered field T...

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Veröffentlicht in:Aequationes mathematicae 2005-09, Vol.70 (1-2), p.88-100
Hauptverfasser: Glavosits, Tamás, Lajkó, Károly
Format: Artikel
Sprache:eng
Schlagworte:
Functions (mathematics)
Mathematical analysis
Mathematical functions
Mathematical problems
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Zusammenfassung:The functional equation G1(x+1/y) + F1(y) = G2(y+1/x) + F2(x) related to the characterizations of bivariate distributions is investigated for functions Gi, Fi:real set+ maps into real set(i=1,2) and for functions Gi, Fi : T+ maps into A (where T+ is the set of positive elements in an ordered field T and A is a uniquely 2-divisible abelian group).[PUBLICATION ABSTRACT]
ISSN:0001-9054
1420-8903
DOI:10.1007/s00010-005-2786-6