• 제목/요약/키워드: Popoviciu′s inequality

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HYERS-ULAM-RASSIAS STABILITY OF A QUADRATIC FUNCTIONAL EQUATION

  • Trif, Tiberiu
    • 대한수학회보
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    • 제40권2호
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    • pp.253-267
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    • 2003

  • 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.

  • https://doi.org/10.4134/BKMS.2003.40.2.253 인용 PDF KSCI