Stability of generalized quadratic functional equation on a set of measure zero
, , and | Dec 30, 2015
About this article
Published Online: Dec 30, 2015
Page range: 149 - 162
Received: Jun 14, 2015
DOI: https://doi.org/10.1515/aupcsm-2015-0011
© by Youssef Aribou
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.
In this paper we prove the Hyers-Ulam stability of the following K-quadratic functional equation
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.