On a generalization of the Popoviciu equation on groups

Małgorzata Chudziak

Abstract


We determine a general solution of the Popoviciu type functional equation on groups.

Keywords


Popoviciu equation; quadratic equation; additive function

Mathematics Subject Classification


39B22

References


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Popoviciu, T. "Sur certaines inégalités qui caractérisentes fonctions convexes." An. Sti. Univ. "Al. I. Cuza" Iasi Sect. I a Mat. (N.S.) 11 (1965): 155-164.

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---. "On the stability of a functional equation deriving from an inequality of Popoviciu for convex functions." J. Math. Anal. Appl. 272 (2002): 604-616.


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