Research articles
ScienceAsia 48 (2022):ID 623-629 |doi:
10.2306/scienceasia1513-1874.2022.088
Stability for a general form of an alternative functional equation related to the Jensen’s functional equation
ABSTRACT: Given real numbers α, β, γ such that (α, β, γ) \ne (k, −2k, k) for all k ∈ R and (β, γ) \notin {(0, α), (α, α), (α + γ , γ )}, we investigate the stability of an alternative Jensen’s functional equation of the form
f(xy−1) − 2f(x) + f(xy) = 0 or αf(xy−1) + βf(x) + γf(xy) = 0,
where f is a mapping from an abelian group to a Banach space.
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* Corresponding author, E-mail: ch.srisawat@gmail.com
Received 4 Feb 2022, Accepted 26 Mar 2022
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