On some functional equations connected to Hadamard inequalities

• Autores: Barbara Koclega-Kulpa, Tomasz Szostok
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 75, Nº. 1-2, 2008, págs. 119-129
• Idioma: inglés
• DOI: 10.1007/s00010-007-2898-2
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• Resumen

  • We consider some functional equations connected with the Hadamard inequalities . Namely, we observe that for the function f(x) = x 2 the middle expression from these inequalities satisfies the additional condition . We ask for all functions having properties of this kind. Moreover, we consider some generalizations of the problem for functions acting on more general structures than (integral domains).