On the stability of the linear functional equation in a single variable on complete metric groups

2015/12/15 by Jung, Soon-Mo, Popa, Dorian, Rassias, Michael Th.
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1512.04709

Abstract

In this paper we obtain a result on Hyers-Ulam stability of the linear functional equation in a single variable f(φ(x)) = g(x) ⋅ f(x) on a complete metric group.

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