학술저널
THE GENERAL SOLUTION AND APPROXIMATIONS OF A DECIC TYPE FUNCTIONAL EQUATION IN VARIOUS NORMED SPACES
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 29, No. 2
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2016.05287 - 328 (42 pages)
- 2
In the current work, we define and find the general solution of the decic functional equation g(x + 5y) − 10g(x + 4y) + 45g(x + 3y) − 120g(x + 2y)+ 210g(x + y) − 252g(x) + 210g(x − y) − 120g(x − 2y)+ 45g(x − 3y) − 10g(x − 4y) + g(x − 5y) = 10!g(y) where 10! = 3628800. We also investigate and establish the generalized Ulam-Hyers stability of this functional equation in Banach spaces, generalized 2-normed spaces and random normed spaces by using direct and fixed point methods.
1. Introduction
2. General solution of (1.10)
3. Stability results in Banach space
4. Stability results in generalized 2-normed spaces
5. Stability results in random normed spaces
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