Resumen de A method of solving functional equations on convex subsets of linear spaces
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]).
