Open Journal of Mathematical Analysis
Vol. 7 (2023), Issue 1, pp. 56 – 70
ISSN: 2616-8111 (Online) 2616-8103 (Print)
DOI: 10.30538/psrp-oma2023.0123
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
Ly Van An\(^{1}\)
\(^{1}\) Faculty of Mathematics Teacher Education, Tay Ninh University, Tay Ninh, Vietnam
Copyright © 2023 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.
Received: March 17, 2023 – Accepted: June 16, 2023 – Published: June 30, 2023
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.