On a functional equation of trigonometric type

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摘要

In this paper, we study the functional equation, f(x+y)-f(x)f(y)=dsinxsiny. Some generalizations of the above functional equation are also considered.

论文关键词:Hyers–Ulam stability,Functional equation,Trigonometric type functional equation,Functional inequality,Banach spaces

论文评审过程:Available online 29 December 2014.

论文官网地址:https://doi.org/10.1016/j.amc.2014.12.019