Let A be a unital algebra, let χ be a unital A-module for which χρ is a ρ-complete modular space and let f: A → χρ be a mapping. We present some observations concerning hyperstability of the following functional equations μf((x+y)/2)+μf((x-y)/2)=f(μx), (m + n)f(xy) = 2mx.f(y) + 2ny.f(x) for all x,y in A and all μ in T_{1/n_0}=\{e^{i\theta};~ 0\leq\theta\leq2\pi/n_0\}$, where m, n ≥0 with m + n ≠ 0 are fixed integers.
