Stability Threshold for Multiadditive and Symmetric Mappings
Dan M. Daianu
TL;DR
This paper extends the stability threshold concept from additive mappings to n-additive and symmetric functions, broadening the understanding of stability in more complex functional equations.
Contribution
It introduces a generalized stability threshold for n-additive and symmetric mappings, expanding prior results on additive functions.
Findings
Established stability thresholds for n-additive functions
Extended Gajda's results to symmetric mappings
Provided new bounds for functional stability
Abstract
We extend the Z. Gajda's result concerning the stability threshold for additive mappings to the n-additive and symmetric functions.
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Taxonomy
TopicsFunctional Equations Stability Results · Mathematical and Theoretical Analysis · Numerical methods for differential equations