On some functional equations related to Steffensen's inequality

Bogdan Choczewski, Ilie Corovei, Anna Matkowska


We consider the problem, proposed by the second author (cf. [1]) of solving functional equations stemming from the Steffensen integral inequality (S), which is applicable in actuarial problems, cf. [4]. Imposing some regularity conditions we find solutions of two equations in two variables, one with two and another with three unknown functions.

Mathematics Subject Classification

2000 Mathematics Subject Classification: 39B22, 26D15.

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