On some functional equations related to Steffensen's inequality

Authors

  • Bogdan Choczewski Faculty of Applied Mathematics, AGH University of Science and Technology, al. Mickiewicza 30, Kraków, Poland
  • Ilie Corovei Institute of Mathematics, Technical University, Cluj-Napoca, Romania
  • Anna Matkowska Faculty of Management, AGH University of Science and Technology, al. Mickiewicza 30, Kraków, Poland

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.

References

I. Corovei, Functional-integral equations stemming from Steffensen’s inequality [5. Problems and Remark (presented by B. Choczewski)], in: Report of Meeting, 9th International Conference on Functional Equations and Inequalities, Z lockie, September 7-13, 2003; Ann. Acad. Paedag. Cracoviensis, Studia Math., to appear.
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J. Dieudonné, Calcul infinitésimal, Hermann, Paris, 1968.
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D.S. Mitrinović, Analitičke nejednakosti, Gradevinska Knjiga, Beograd, 1970.
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J.F. Steffensen, On certain inequalities between mean values and their applications to actuarial problems, Skandinavisk Aktuarietidskrift, 1918, 82-97.
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Published

2004-05-22

How to Cite

Choczewski, B., Corovei, I., & Matkowska, A. (2004). On some functional equations related to Steffensen’s inequality. Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica, 4, 31–37. Retrieved from https://studmath.uken.krakow.pl/article/view/13306

Issue

Vol. 4 (2004): Annales Academiae Paedagogicae Cracoviensis Studia Mathematica

Section

Published