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Stability of a functional inequality associated with the Jordan-von Neumann functional equation. (English) Zbl 1098.39019

The Hyers-Ulam stability of the functional inequality \[ \| 2 f(x)+2f(y)-f(x-y)\| \leq \| f(x+y)\| ,\quad (\text{for all }x,y) \] is investigated in the spirit of P. Găvruţă’s paper [J. Math. Anal. Appl. 184, 431–436 (1994; Zbl 0818.46043)].

MSC:

39B82 Stability, separation, extension, and related topics for functional equations
39B52 Functional equations for functions with more general domains and/or ranges
39B62 Functional inequalities, including subadditivity, convexity, etc.

Citations:

Zbl 0818.46043
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