期刊
MATHEMATICS
卷 11, 期 16, 页码 -出版社
MDPI
DOI: 10.3390/math11163458
关键词
multi stability; approximation
类别
In this paper, a new method for approximating stability analysis of a tri-additive functional inequality is considered, and the optimal approximation for permuting tri-derivations and tri-homomorphisms in unital matrix algebras is obtained using the vector-valued alternative fixed-point theorem. Furthermore, a small list of aggregation functions on the classical, well-known special functions is presented to investigate the best approximation error estimates using a different concept of perturbation stability.
We consider a new approach to approximate stability analysis for a tri-additive functional inequality and to obtain the optimal approximation for permuting tri-derivations and tri-homomorphisms in unital matrix algebras via the vector-valued alternative fixed-point theorem, which is a popular technique of proving the stability of functional equations. We also present a small list of aggregation functions on the classical, well-known special functions to investigate the best approximation error estimates using a different concept of perturbation stability.
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