Ulam stability of Jensen functional inequality in groups
Gang Lu, Lulu Qu, Yuanfeng Jin, Choonkil Park
TL;DR
This paper investigates the stability of Jensen's functional inequality within certain groups, providing insights into how approximate solutions relate to exact solutions in this mathematical context.
Contribution
It introduces the Ulam stability concept for Jensen functional inequality specifically in group structures, extending previous stability results to new algebraic settings.
Findings
Established Ulam stability for Jensen inequality in specific groups
Extended stability results to broader classes of groups
Provided mathematical framework for approximate solutions in group contexts
Abstract
In this paper we establish the Ulam stability of Jensen functional inequality in some classes of groups.
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Taxonomy
TopicsFunctional Equations Stability Results · Advanced Topics in Algebra · Nonlinear Differential Equations Analysis