On two-variable means with variable weights

• Autores: Zoltán Daróczy, Gyula Maksa, Zsolt Páles
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 67, Nº. 1-2, 2004, págs. 154-159
• Idioma: inglés
• DOI: 10.1007/s00010-003-2693-7
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• Resumen

  • In this note we solve the equality problem of weighted quasi-arithmetic means of two variables in the particular case when one of the weight functions is constant. As an application, we determine all those weighted arithmetic means that are also quasi-arithmetic. No differentiability conditions on the unknown functions are assumed.