Stability of the Pexider functional equation

Roman Badora; Barbara Przebieracz; Peter Volkmann

Published: 2010-09-30

Vol. 24 (2010)

Stability of the Pexider functional equation

Roman Badora , Barbara Przebieracz , Peter Volkmann

Abstract

A stability result for the Pexider equation will be derived from a stability theorem published in [9] for the Cauchy functional equation. Then we discuss the quality of some constants occuring in this context; as a model case we consider functions defined on the multiplicative semigroup {1, 0}.

Keywords:

Pexider equation , stability , Tabor grupoids

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Badora, R., Przebieracz, B., & Volkmann, P. (2010). Stability of the Pexider functional equation. Annales Mathematicae Silesianae, 24, 7–13. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14030

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References

1. Gajda Z., Kominek Z., On separation theorems for subadditive and superadditive functionals, Studia Math. 100 (1991), 25–38.
2. Kominek Z., On Hyers–Ulam stability of the Pexider equation, Demonstratio Math. 37 (2004), 373–376.
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9. Volkmann P., O stabilności równań funkcyjnych o jednej zmiennej , Sem. LV, no. 11 (2001), 6 pp., Errata ibid. no. 11 bis (2003), 1 p., http://www.math.us.edu.pl/smdk. Google Scholar

Roman Badora

robadora@math.us.edu.pl

Affiliation:

Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland

Barbara Przebieracz

Affiliation:

Instytut Matematyki, Uniwersytet Śląski w Katowicach Poland

Peter Volkmann

Affiliation:

Institut für Analysis, KIT, Germany Germany

Vol. 24 (2010)
Published: 2010-09-30

ISSN: 0860-2107

eISSN: 2391-4238

10.2478/amsil

Publisher

University of Silesia Press

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