General Quadratic-Additive Type Functional Equation and Its Stability

Yang-Hi Lee, Soon-Mo Jung
2016 International Journal of Mathematics and Mathematical Sciences  
We investigate the general functional equation of the formf(ax+by+cz)-abf(x+y)-bcf(y+z)−acf(x+z)-a((a+1)/2-b-c)f(x)-b((b+1)/2-a-c)f(y)-c((c+1)/2-a-b)f(z)-(a(a-1)/2)f(-x)−(b(b-1)/2)f(-y)-(c(c-1)/2)f(-z)=0, whose solutions are quadratic-additive mappings in connection with stability problems.
doi:10.1155/2016/1793065 fatcat:zt6mhjw4zbaepba7ax6p26gwtm