On pexiderized Jensen-Hosszu functional equation on the unit interval

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:409

Article

Kominek, Zygfryd

关键词: The Jensen functional equation;    The Hosszu functional equation;    General solutions;    Stability in the Hyers-Ulam sense;   

DOI  :  10.1016/j.jmaa.2013.07.001

来源: Elsevier

【 摘 要 】

We solve the functional equation of the form 2f(x + y)/2 = g(x + y - xy) + h(xy) in the class of real functions defined on the unit interval [0, 1]. We prove that it is not stable, but if two functions from the triple {f, g, h) coincides the analogue equation is stable in the Hyers-Ulam sense. (C) 2013 Elsevier Inc. All reserved.

【 授权许可】

Free