科研之友
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摘要
Let n be a given positive integer, G an n-divisible abelian group, X a normed space and f : G -%26gt; X. We prove a generalized Hyers-Ulam stabitity of the following functional inequality %26lt;br%26gt;parallel to f (x) + f (y) + n f (z) parallel to %26lt;= parallel to n f (x+y/n + z)parallel to + phi(x, y, z), for all x, y, z is an element of G, %26lt;br%26gt;which has been introduced in [3], under some conditions on phi : G x G x G -%26gt; [0,infinity).
- 出版日期2012-9
