- 期刊
On the Orthogonal Stability of the Pexiderized Quadratic Equations in Modular Spaces
並列摘要
In this paper, we establish the Hyers-Ulam stability of the orthogonal quadratic functional equation of Pexiderized type f(x + y) + f(x - y) = 2g(x) + 2h(y), x⊥y in which ⊥ is the orthogonality in the sense of Rätz in modular spaces.
被引用紀錄
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延伸閱讀
- LAN, N. T. (2003). ON THE MILD SOLUTIONS OF HIGHER-ORDER DIFFERENTIAL EQUATIONS IN BANACH SPACES. Abstract and Applied Analysis, 2003(), 865-880. https://doi.org/10.1155/S1085337503303057
- Lee, Y. H., & Jung, S. M. (2012). Stability of an n-Dimensional Mixed-Type Additive and Quadratic Functional Equation in Random Normed Spaces. Journal of Applied Mathematics, 2012(), 498-512-430. https://doi.org/10.1155/2012/547865
- Lee, Y. H., Jung, S. M., & Rassias, T. M. (2012). Stability of the n-Dimensional Mixed-Type Additive and Quadratic Functional Equation in Non-Archimedean Normed Spaces. Abstract and Applied Analysis, 2012(), 1229-1237-281. https://doi.org/10.1155/2012/401762
- Bodaghi, A., & Kim, S. O. (2013). Stability of a Functional Equation Deriving from Quadratic and Additive Functions in Non-Archimedean Normed Spaces. Abstract and Applied Analysis, 2013(), 523-532-156. https://doi.org/10.1155/2013/198018
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