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On a Jansen type functional equation

Smajdor W.

Journal of Applied Analysis

2007

Vol. 13, nr 1

19-31

We investigate the functional equation [wzór] for f: M S, where M is an Abelian 2- and 3-divisible group and S is an abstract convex cone. The motivation for studying this equation came from results due to Tiberiu Trief [8] and Young Whan Lee [3], where equation (1) was considered with constants a = 3, b = 2 and a = 9 and b = 4, respectively.

On the Sincov functional equation

Piątek B.

Demonstratio Mathematica

2005

Vol. 38, nr 4

875--881

The Riemarm integral, the Hukuhara differences and derivatives will be applied to obtain solutions of the Sincov functional equation.