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Stability of mixed additive-quadratic Jensen type functional equation in various spaces
Azadi Kenary, H.,Je Cho, Y. Pergamon Press ; Elsevier Science Ltd 2011 COMPUTERS & MATHEMATICS WITH APPLICATIONS - Vol.61 No.9
In this paper, we prove the generalized Hyers-Ulam stability of the following mixed additive-quadratic functional equation: 2f(x+y2)+f(x-y2)+f(y-x2)=f(x)+f(y) in various spaces.
FUNCTIONAL EQUATIONS IN BANACH MODULES AND APPROXIMATE ALGEBRA HOMOMORPHISMS IN BANACH ALGEBRAS
Boo, Deok-Hoon,Kenary, Hassan Azadi,Park, Choonkil The Kangwon-Kyungki Mathematical Society 2011 한국수학논문집 Vol.19 No.1
We prove the Hyers-Ulam stability of partitioned functional equations in Banach modules over a unital $C^*$-algebra. It is applied to show the stability of algebra homomorphisms in Banach algebras associated with partitioned functional equations in Banach algebras.