ADDITIVE-QUADRATIC ρ-FUNCTIONAL INEQUALITIES IN β-HOMOGENEOUS NORMED SPACES.

In this paper, we solve the following additive-quadratic ρ-functional inequalities ... where ρ is a fixed complex number with |ρ| < 1, and ... where p is a fixed complex number with |p| < 1/2, and prove the Hyers-Ulam stability of the additive-quadratic ρ-functional inequalities (0.1) and (0.2) in β-homogeneous complex Banach spaces and prove the Hyers-Ulam stability of additive-quadratic p-functional equations associated with the additive-quadratic p-functional inequalities (0.1) and (0.2) in β-homogeneous complex Banach spaces. [ABSTRACT FROM AUTHOR]