On a new type of stability of a radical cubic functional equation related to Jensen mapping
الموضوعات :S. A. A. AL-Ali 1 , Y. Elkettani 2
1 - Department of Mathematics, Faculty of Sciences, Ibn Tofail University, BP-14000, Kenitra, Morocco
2 - Department of Mathematics, Faculty of Sciences, Ibn Tofail University, BP-14000, Kenitra, Morocco
الکلمات المفتاحية: Stability, hyperstability, 2-Banach spaces, radical functional equations,
ملخص المقالة :
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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