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| Paper IPM / M / 8565 |
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| Abstract: | |
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A quasi norm is a non-negative function ||.|| on a linear space
X satisfying the same axioms as a norm except for the
triangle inequality, which is replaced by the weaker condition
that "there is a constant K ≥ 1 such that ||x+y|| ≤ K(||x|| + ||y||) for all x, y ∈ X". In this paper,
we prove the Hyers-Ulam-Rassias stability of linear mappings in
quasi-Banach modules associated to the Cauchy functional equation
and a generalized Jensen functional equation.
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