On a new type of stability of a radical cubic functional equation related to Jensen mapping

Journal of Linear and Topological Algebra

مقاله 5، دوره 07، شماره 04، بهمن 2018، صفحه 281-292   

نوع مقاله: Research Paper

نویسندگان

S. A. A. AL-Ali^* ؛ Y. Elkettani

Department of Mathematics‎, ‎Faculty of Sciences‎, ‎Ibn Tofail University‎, ‎BP-14000‎, ‎Kenitra‎, ‎Morocco

چکیده

‎The aim of this paper is to introduce and solve the‎ radical 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 for‎ ‎the considered equation in 2-Banach spaces‎.

کلیدواژه‌ها

Stability؛ hyperstability؛ 2-Banach spaces؛ radical functional equations

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