Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614908 | Journal of Mathematical Analysis and Applications | 2016 | 9 Pages |
Abstract
Let RR be the set of real numbers, Y a Banach space and f:R→Yf:R→Y. We prove the Ulam–Hyers stability theorem for the new quadratic functional equation∑j=2k(f(x1+xj)+f(x1−xj))=2(k−1)f(x1)+2∑j=2kf(xj) for all (x1,…,xk)∈Γ(x1,…,xk)∈Γ, where Γ⊂RkΓ⊂Rk is of Lebesgue measure 0. Using the result we obtain an asymptotic behavior of the equation.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jaeyoung Chung, John Michael Rassias,