On the stability of a nonic functional equation in quasi-normed spaces
In this paper, we extend normed spaces to quasi-normed spaces and prove the generalized Hyers-Ulam stability of a nonic functional equation:$$\aligned&f(x+5y) - 9f(x+4y) + 36f(x+3y) - 84f(x+2y) + 126f(x+y) - 126f(x)\\&\qquad + 84f(x-y)-36f(x-2y)+9f(x-3y)-f(x-4y) = 9 ! f(y),\endaligned$$where $9 ! = 362880$ in quasi-normed spaces.
Keyword(s):
Keyword(s):
2012 ◽
Vol 10
(01)
◽
pp. 1220020
◽
Keyword(s):
Keyword(s):
2010 ◽
Vol 2010
◽
pp. 1-24
◽
Keyword(s):
2017 ◽
Vol 35
(1)
◽
pp. 43
◽
Keyword(s):
Keyword(s):