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2007 On a Cubic Equation and a Jensen-Quadratic Equation
Jae-Hyeong Bae, Won-Gil Park
Abstr. Appl. Anal. 2007: 1-10 (2007). DOI: 10.1155/2007/45179

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 ) .

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Jae-Hyeong Bae. Won-Gil Park. "On a Cubic Equation and a Jensen-Quadratic Equation." Abstr. Appl. Anal. 2007 1 - 10, 2007. https://doi.org/10.1155/2007/45179

Information

Published: 2007
First available in Project Euclid: 27 February 2008

zbMATH: 1156.39014
MathSciNet: MR2365815
Digital Object Identifier: 10.1155/2007/45179

Rights: Copyright © 2007 Hindawi

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