On a new type of stability of a radical cubic functional equation related to Jensen mapping
محورهای موضوعی : Functional analysis
S. A. A. AL-Ali
1
(Department of Mathematics, Faculty of Sciences, Ibn Tofail University, BP-14000, Kenitra, Morocco)
Y. Elkettani
2
(Department of Mathematics, Faculty of Sciences, Ibn Tofail University, BP-14000, Kenitra, Morocco)
کلید واژه: Stability, hyperstability, 2-Banach spaces, radical functional equations,
چکیده مقاله :
‎The aim of this paper is to introduce and solve the‎radical cubic functional equation‎ ‎$‎‎f\left(\sqrt[3]{x^{3}+y^{3}}\right)+f\left(\sqrt[3]{x^{3}-y^{3}}\right)=2f(x)‎$.‎ ‎We also investigate some stability and hyperstability results for‎‎the considered equation in 2-Banach spaces‎.
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