학술저널
SOLUTION AND STABILITY OF MIXED TYPE FUNCTIONAL EQUATIONS
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 22, No. 4
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2009.12815 - 830 (16 pages)
- 0
In this paper we establish the general solution of the following functional equation with mixed type of quadratic and additive mappings f(mx + y) + f(mx − y) + 2f(x) = f(x + y) + f(x − y) + 2f(mx), where m 2 is a positive integer, and then investigate the generalized Hyers–Ulam stability of this equation in quasi-Banach spaces.
1. Introduction and preliminaries
2. Solution of Eq. (1.2)
3. Generalized Hyers–Ulam stability of Eq. (1.2)
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