Additive-quadratic ρ-functional inequalities in β-homogeneous normed spaces

Abstract

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

Publication Title

Journal of Computational Analysis and Applications

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