ADDITIVE FUNCTIONAL INEQUALITIES IN PARANORMED SPACES

作者：Yang Seo Yun; Park Choonkil^*

来源：Journal of Computational Analysis and Applications, 2014, 16(1): 165-171.

• Jordan-von Neumann functional equation
• Hyers-Ulam stability
• paranormed space
• functional inequality

In this paper, we investigate the following additive functional inequalities
parallel to 1/s f(x) + 1/s f(y) + f(z) + f(w)parallel to <= parallel to f (x+y/s + z + w)parallel to,
parallel to 1/s f(x) + 1/s f(y) + 1/s f(z) + f(w)parallel to <= parallel to f(x+y+z/s + w)parallel to
in paranormed spaces for a fixed integer s greater than 1. Furthermore, we prove the Hyers-Ulam stability of the above additive functional inequalities in paranormed spaces.

• 出版日期2014-1