On some functional equations related to Steffensen's inequality

Bogdan Choczewski, Ilie Corovei, Anna Matkowska

Abstract


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.

Full Text: PDF

Download statistics: 2789



e-ISSN: 2300-133X, ISSN: 2081-545X

Since 2017 Open Access in De Gruyter and CrossCheck access cofinanced by The Ministry of Science and Higher Education - Republic of Poland - DUN 775/P-DUN/2017 see more

The Journal is indexed in:
and others see Abstracting and Indexing list

AUPC SM is on the List of the Ministry’s scored journals with 20 points for 2019

Deklaracja dostępności cyfrowej