On a Cubic Equation and a Jensen-Quadratic Equation
Jae-Hyeong Bae and Won-Gil Park
Source: Abstr. Appl. Anal. Volume 2007 (2007), 10 pages.
Abstract
We obtain the general solutions of the cubic functional equation $3[g(x+y)+g(x−y)+6g(x)]=2g(2x+y)+2g(2x−y)+g(−x−y)+g(−x+y)+6g(−x)$ and the Jensen-quadratic functional equation $f((x+y)/2,z+w)+f((x+y)/2,z−w)=f(x,z)+f(x,w)+f(y,z)+f(y,w)$.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.aaa/1204126606
Digital Object Identifier: doi:10.1155/2007/45179
Mathematical Reviews number (MathSciNet):
MR2365815
Abstract and Applied Analysis
