Title of article
On the Approximate Solution of Hosszu's Functional Equation
Author/Authors
Bouikhalene, B Departement of Mathematics - University Sultan Moulay Slimane, Beni-Mellal Morocco , Rassias, J. M University of Athens, Section of Mathematics and Informatics - Agamemnonos Str - Aghia Paraskevi - Athens, Greece , charifi, A Faculty of sciences - Departement of Mathematics - University of Ibn Tofail - Kenitra, Morocco , Kabbaj, S. Faculty of sciences - Departement of Mathematics - University of Ibn Tofail - Kenitra, Morocco
Pages
5
From page
40
To page
44
Abstract
We show that every approximate solution of the Hosszu's functional equation
f(x + y + xy) = f(x) + f(y) + f(xy) for any x; y 2 R;
is an additive function and also we investigate the Hyers-Ulam stability of this equation in the
following setting
ǁf(x + y + xy) - f(x) - f(y) - f(xy)ǁ ≤ σ + '(x; y)
for any x; y 2 R and σ > 0.
Keywords
Additive Function , Hyers-Ulam Stability , Functional Equation
Journal title
Astroparticle Physics
Serial Year
2012
Record number
2441843
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