Turkish Journal of Mathematics
Abstract
In this paper, we will find out the general solution and investigate the generalized Hyers-Ulam-Rassias stability problem for an Euler-Lagrange type cubic functional equation 2mf(x+my)+2f(mx-y)=(m^3+m)[f(x+y)+f(x-y)]+2(m^4-1)f(y) in Banach spaces and in left Banach modules over a unital Banach *-algebra for a fixed integer m with m\neq0,\pm1.
DOI
10.3906/mat-0802-20
Keywords
Hyers-Ulam-Rassias stability, cubic functional equation
First Page
65
Last Page
73
Recommended Citation
NAJATI, A, & MORADLOU, F (2009). Stability of an Euler-Lagrange type Cubic Functional Equation. Turkish Journal of Mathematics 33 (1): 65-73. https://doi.org/10.3906/mat-0802-20
