On the equivalence of functional equations involving means and solution to a problem of Daróczy

• Autores: Pal Burai
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 75, Nº. 3, 2008, págs. 314-319
• Idioma: inglés
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• Resumen

  • In this work we prove the equivalence of the two functional equations and Here I is a nonempty open interval of the positive real line, and are the weighted arithmetic mean with weight p, the weighted harmonic mean with weight 1 - p, and the geometric mean, respectively.