Additive functions with big graphs



Abstract

In this note we show that there exists a collection containing c additive functions with big graphs such that f(x) ≠ g{x) for every f,g in the collection (fg) and every xRn\{0}.


1. F.B. Jones, Connected and disconnected plane sets and the functional equation f(x+y) = f(x)+f(y), Bull. Amer. Math. Soc. 48 (1942), 115-120.
2. M. Kuczma, An Introduction to the Theory of Functional Equations and Inequalities, Państwowe Wydawnictwo Naukowe, Uniwersytet Śląski, Warszawa-Kraków-Katowice, 1985.
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Published : 1992-09-30


KulosmanH., & MillerH. I. (1992). Additive functions with big graphs. Annales Mathematicae Silesianae, 6, 61-64. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14267

Hamid Kulosman 
Department of Mathematics, University of Sarajevo, Bosna and Herzegovina  Bosnia and Herzegovina
Harry I. Miller 
Department of Mathematics, University of Sarajevo, Bosna and Herzegovina  Bosnia and Herzegovina



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