Demonstrates generalized stability in an additive-quadratic-cubic-quartic equation, suggesting broader implications in mathematical analysis.
We will prove the generalized Hyers-Ulam stability of an additive–quadratic–cubic–quartic functional equation ∑m=15(−1)m−1[∑1≤i1<⋯<im≤5f(xi1+xi2+⋯+xim)]=0 in the spirit of Găvruţa.
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Jin et al. (2026) studied this question.