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http://dx.doi.org/10.4134/BKMS.2003.40.2.253

HYERS-ULAM-RASSIAS STABILITY OF A QUADRATIC FUNCTIONAL EQUATION  

Trif, Tiberiu (Universitatea Babes-Bolyai, Facultatea de Matematica si Informatica)
Publication Information
Bulletin of the Korean Mathematical Society / v.40, no.2, 2003 , pp. 253-267 More about this Journal
Abstract
In this paper we deal With the quadratic functional equation (equation omitted) deriving from an inequality of T. Popoviciu for convex functions. We solve this functional equation by proving that its solutions we the polynomials of degree at most two. Likewise, we investigate its stability in the spirit of Hyers, Ulam, and Rassias.
Keywords
Hyers-Ulam-Rassias stability; quadratic functional equation; Popoviciu′s inequality;
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