Hyers-Ulam-Rassias stability of functional equations with parameters

2025/08/14 by Zhang, Jing, Liu, Qi, Hu, Yongmo +6
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2508.10324

Abstract

This paper explores the Hyers-Ulam stability of generalized Jensen additive and quadratic functional equations in \(β\)-homogeneous \(F\)-space, showing that approximately satisfying mappings have a unique exact approximating counterpart within a specific bound.

Citations

• On the stability of orthogonally Jensen additive and quadratic functional equation
• On the stability of the linear mapping in Banach spaces

Related

• Ulam stability of an additive-quadratic functional equation in F-space and quasi-Banach spaces
• Approximation of a Cauchy-Jensen additive mapping in various normed spaces
• On the stability of orthogonally Jensen additive and quadratic functional equation
• Stability of Mixed Type Additive-Cubic Jensen Functional Equation in Non-Archimedean (n, β) Normed Spaces
• Fixed points and the stability of the linear functional equations in a single variable