On a Cubic Equation and a Jensen-Quadratic Equation

On a Cubic Equation and a Jensen-Quadratic Equation

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

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

Intuitionistic fuzzy stability of a quadratic and quartic functional equation

In this paper, we prove the generalized Hyers--Ulamstability of a quadratic and quartic functional equation inintuitionistic fuzzy Banach spaces.

Fuzzy Stability of the Cubic and Quadratic Functional Equation

In this paper, we investigate a fuzzy version of stability for the functional equation f(x+ 2y)− 2f(x+ y) + 2f(x− y)− f(x− 2y)− f(2y) + 4f(−y) = 0 in the sense of Mirmostafaee and Moslehian. Mathematics Subject Classification: 39B82, 39B52

2-Banach stability results for the radical cubic functional equation related to quadratic mapping

The aim of this paper is to introduce and solve the generalized radical cubic functional equation related to quadratic functional equation$$fleft(sqrt[3]{ax^{3}+by^{3}}right)+fleft(sqrt[3]{ax^{3}-by^{3}}right)=2a^{2}f(x)+2b^{2}f(y),;; x,yinmathbb{R},$$for a mapping $f$ from $mathbb{R}$ into a vector space. We also investigate some stability and hyperstability results for...