3-variable Jensen ρ -functional inequalities and equations

Abstract

In this paper, we introduce and investigate Jensen ρ-functional inequalities associated with the following Jensen functional equationsWe prove the Hyers-Ulam-Rassias stability of the Jensen ρ-functional inequalities in complex Banach spaces and prove the Hyers-Ulam-Rassias stability of the Jensen ρ-functional equations associated with the ρ-functional inequalities in complex Banach spaces.

Approximation of general 3-variable Jensen $ρ$-functional inequalities in complex Banach spaces

“…are called 3-variable Jensen. In [18,20,25], Lu et al investigated the 3-variable functional inequalities and proved their stability.…”

Stability analysis of generalized linear functional equations employing the fixed point approach

“…The authors provide a generalization of the stability result and establish conditions under which approximately additive mappings satisfy the stability property. For some information concerning various functional equations, see [3,4,13,14,33,34,35,37,46]. The more detailed information can be found the following books and surveys ( [16,25,28,31]).…”