On a Cubic Equation and a Jensen-Quadratic Equation

Jae-Hyeong Bae and Won-Gil Park

Abstract and Applied Analysis, 2007, vol. 2007, 1-10

Abstract:

We obtain the general solutions of the cubic functional equation 3 [ g ( x + y ) + g ( x − y ) + 6 g ( x ) ] = 2 g ( 2 x + y ) + 2 g ( 2 x − y ) + g ( − x − y ) + g ( − x + y ) + 6 g ( − 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 ) .

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:045179

DOI: 10.1155/2007/45179

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