Stability of an Euler-Lagrange type Cubic Functional Equation

Authors

ABBAS NAJATI
FRIDOUN MORADLOU

DOI

10.3906/mat-0802-20

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.

Keywords

Hyers-Ulam-Rassias stability, cubic functional equation

First Page

65

Last Page

73

Recommended Citation

NAJATI, ABBAS and MORADLOU, FRIDOUN (2009) "Stability of an Euler-Lagrange type Cubic Functional Equation," Turkish Journal of Mathematics: Vol. 33: No. 1, Article 7. https://doi.org/10.3906/mat-0802-20
Available at: https://journals.tubitak.gov.tr/math/vol33/iss1/7