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

الملخص EN

We investigate the following typical form of a certain class of quadratic functional equations: fax+by+fax−by+cfx+y+fx−y−2fx−2fy=2a2fx+2b2fy.

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.