摘要
In this paper, we investigate the Hyers-Ulam stability of the following function equation 2f(2x + y) + 2f(2x - y) = 4f(x + y) + 4f(x - y) + 4f(2x) + f(2y) - Sf(x) - 8f(y) in quasi-β-normed spaces.
In this paper, we investigate the Hyers-Ulam stability of the following function equation 2f(2x + y) + 2f(2x - y) = 4f(x + y) + 4f(x - y) + 4f(2x) + f(2y) - Sf(x) - 8f(y) in quasi-β-normed spaces.
基金
Supported by National Science Foundation of China (Grant Nos. 10626031 and 10971117)
the Scientific Research Project of the Department of Education of Shandong Province (Grant No. J08LI15)