Dergiler / Turkish Journal of Mathematics / 2009 / Cilt: 33 - Sayı: 1
Stability of an Euler-Lagrange type Cubic Functional Equation
- Sayfa
- 65–73
- DOI
- —
Özet
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)=(m3+m)[f(x+y)+f(x-y)]+2(m4-1)f(y) in Banach spaces and in left Banach modules over a unital Banach *-algebra for a fixed integer m with m\neq0,\pm1.
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)=(m3+m)[f(x+y)+f(x-y)]+2(m4-1)f(y) in Banach spaces and in left Banach modules over a unital Banach *-algebra for a fixed integer m with m\neq0,\pm1.