Stability of generalized quadratic functional equation on a set of measure zero

Authors

  • Youssef Aribou
  • Hajira Dimou
  • Abdellatif Chahbi
  • Samir Kabbaj

Abstract

In this paper we prove the Hyers-Ulam stability of the following K-quadratic functional equation X f(x + k · y) = Lf(x) + Lf(y), x, y ∈E, k∈K where E is a real (or complex) vector space. This result was used to demonstrate the Hyers-Ulam stability on a set of Lebesgue measure zero for the same functional equation.

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Published

2015-12-30

How to Cite

Aribou, Y., Dimou, H., Chahbi, A., & Kabbaj, S. (2015). Stability of generalized quadratic functional equation on a set of measure zero. Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica, 14, 149–162. Retrieved from https://studmath.uken.krakow.pl/article/view/13160

Issue

Vol. 14 (2015)

Section

Published on-line (DOI inactive)

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