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A general theorem on the stability of a class of functional equations including quadratic-additive functional equations
- Authors
- Lee, Yang-Hi; Jung, Soon-Mo
- Issue Date
- Feb-2016
- Publisher
- SPRINGER INTERNATIONAL PUBLISHING AG
- Keywords
- Generalized Hyers-Ulam stability; Functional equation; n-dimensional quadratic-additive type functional equation; Direct method
- Citation
- SPRINGERPLUS, v.5
- Journal Title
- SPRINGERPLUS
- Volume
- 5
- ISSN
- 2193-1801
- Abstract
- We prove a general stability theorem of an n-dimensional quadratic-additive type functional equation Df(x(1), x(2), ... , x(n)) = Sigma(m)(i=1) c(i)f(a(i1)x(1) + a(i2)x(2) + ... + a(in)x(n)) = 0 by applying the direct method.
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