A method of solving functional equations on convex subsets of linear spaces

• Autores: Iwona Pawlikowska
• Localización: Aequationes mathematicae, ISSN 0001-9054, Vol. 75, Nº. 1-2, 2008, págs. 1-28
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • We introduce a method of solving a wide range of functional equations stemming from Mean Value Theorems. We generalize the results of Z. Daróczy and Gy. Maksa (Corollary 2; [2]) in the spirit of M. Sablik�s lemma (Lemma 2.3; [11]). Next, we illustrate the method taking into account two functional equations. The first one is connected with Flett�s Mean Value Theorem ([6]) and the second one is derived from Simpson�s rule ([10]).