IJPAM: Volume 45, No. 2 (2008)

SOME PROPERTIES OF
GENERALIZED SUBADDITIVE FUNCTIONS

Bogdan Choczewski$^1$, Zbigniew Powazka$^2$
$^1$Faculty of Applied Mathematics
AGH University of Science and Technology
al. Mickiewicza 30, Cracow, PL-30-059, POLAND
e-mail: smchocze@cyf-kr.edu.pl
$^2$Institute of Mathematics
Pedagogical University of Cracow
Podchorazych 2, Cracow, PL-30-084, POLAND
e-mail: powazka@ap.krakow.pl


Abstract.By a generalized subadditive (GS) function we mean a solution $\psi$ of the functional inequality $\psi(x+y) \leq F(\psi(x),\psi(y))~(F_\leq)$. We are interested in those $\psi$ which are bounded by a solution of the equation $(F_=)$ (a generalized additive (GA) function).

Received: February 11, 2008

AMS Subject Classification: 39B62

Key Words and Phrases: generalized additive and subadditive functions

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 45
Issue: 2