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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 283173, 8 pages
Research Article

Hyers-Ulam Stability for a Class of Quadratic Functional Equations via a Typical Form

1Department of Mathematics Education, Dankook University, 152 Jukjeon-ro, Suji-gu, Yongin-si, Gyeonggi-do 448-701, Republic of Korea
2Department of Mathematics, Sungshin Women's University, 249-1 Dongseon-dong 3-ga, Seongbuk-gu, Seoul 136-742, Republic of Korea

Received 29 July 2013; Accepted 7 October 2013

Academic Editor: Elena Braverman

Copyright © 2013 Chang Il Kim et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We investigate the following typical form of a certain class of quadratic functional equations: . Furthermore, we provide a systematic program to prove the generalized Hyers-Ulam stability for the class of functional equations via the stability for the typical form.