Hyers-Ulam stability of an alternative functional equation of Jensen type

Choodech Srisawat

ABSTRACT: Given an integer λ∉ {-2,-1,0, 2}, we investigate the Hyers-Ulam stability of an alternative Jensen's functional equation ƒ (x y^-1) - 2ƒ (x) + ƒ (x y) = 0 or f (x y^-1) - λƒ (x) + ƒ (x y) = 0 where f is a mapping from an abelian group to a Banach space.

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^a	Department of Mathematics, Faculty of Science, Udon Thani Rajabhat University, Udon Thani 41000 Thailand

* Corresponding author, E-mail: ch.srisawat@gmail.com

Received 6 Jul 2018, Accepted 30 Jun 2019