2 citations · 4 across the 5 of their papers we have counts for
5 papers
A qualitative description of graphs of discontinuous polynomial functions
J. M. Almira, Kh. F. Abu-Helaiel
We prove that, if f:R^n\to R satisfies Fréchet's functional equation and f(x_1,...,x_n) is not an ordinary algebraic polynomial in the variables x_1,...,x_n, then f is unbounded on…
A note on invariant subspaces and the solution of some classical functional equations
J. M. Almira, Kh. F. Abu-Helaiel
We study the continuous solutions of several classical functional equations by using the properties of the spaces of continuous functions which are invariant under some elementary…
A p-adic Montel theorem and locally polynomial functions
J. M. Almira, Kh. F. Abu-Helaiel
We prove a version of both Jacobi's and Montel's Theorems for the case of continuous functions defined over the field of -adic numbers. In particular, we prove th…
A note on monomials
J. M. Almira, Kh. F. Abu-Helaiel
We study discontinuous solutions of the monomial equation . In particular, we characterize the closure of their graph, , and…
On solutions of and related equations
J. M. Almira, Kh. F. Abu-Helaiel
We study some properties of the solutions of the functional equation which was introduced in the literature by Mora, Cherruault and Ziadi in 1999, f…