Expansion of the Jensen \((\Gamma_{1},\Gamma_{2})\)-functional inequatities based on Jensen type \((\eta,\lambda)\)-functional equation with \(3k\)-Variables in complex Banach space

Author(s): Ly Van An1
1Faculty of Mathematics Teacher Education, Tay Ninh University, Tay Ninh, Vietnam
Copyright © Ly Van An. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In this paper, we work on expanding the Jensen \((\Gamma_{1},\Gamma_{2})\)-function inequalities by relying on the general Jensen \((\eta,\lambda)\)-functional equation with \(3k\)-variables on the complex Banach space. That is the main result of this.

Keywords: Generalized Jensen type \((\Gamma_{1},\Gamma_{2})\)-functional inequality; Generalized Jensen type \((\eta,\lambda)\)-functional equations; Hyers-Ulam-Rassias stability; complex Banach space; complex normed vector spaces.