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

الموضوعات :

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)

تاريخ الإرسال : 12 الأحد , رمضان, 1439 تاريخ التأكيد : 06 الإثنين , صفر, 1440 تاريخ الإصدار : 23 الخميس , صفر, 1440

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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