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

Abstract

‎The aim of this paper is to introduce and solve the‎ radical cubic functional equation‎<br /> ‎$‎‎fleft(sqrt[3]{x^{3}+y^{3}}right)+fleft(sqrt[3]{x^{3}-y^{3}}right)=2f(x)‎$.‎ ‎We also investigate some stability and hyperstability results for‎ ‎the considered equation in 2-Banach spaces‎.