Title of article :
The stability of d’Alembert and Jensen type functional
equations
Author/Authors :
Gwang Hui Kim، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2007
Abstract :
The aim of this paper is to study the stability problem of the d’Alembert type and Jensen type functional
equations:
f (x + y)+ f (x +σy) = 2g(x)f (y),
f (x + y)+ f (x +σy) = 2f (x)g(y),
f (x + y)+ f (x +σy) = 2f (x).
© 2006 Elsevier Inc. All rights reserved
Keywords :
d’Alembert functional equation , Jensen functional equation , Cosine function , Superstability , Hyers–Ulamstability
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications