Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10426912 | Nonlinear Analysis: Theory, Methods & Applications | 2005 | 13 Pages |
Abstract
In this paper, we prove the Hyers-Ulam-Rassias stability of the following generalized quadratic functional equation of Euler-Lagrange type âi=1nriQâj=1nrj(xi-xj)+âi=1nriQâi=1nrixi=âi=1nri2âi=1nriQ(xi)in Banach modules over a unital C*-algebra, where n>1 is a positive integer and {riâ(0,â)|i=1,â¦,n} is arbitrary given.
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Authors
Kil-Woung Jun, Hark-Mahn Kim,