A new quadratic functional equation version and its stability and superstability
- Authors
- Farhadabadi, Shahrokh; Lee, Jung Rye; Park, Choonkil; Shokri, Javad; Lee, Jung Rye
- Issue Date
- Sep-2017
- Publisher
- EUDOXUS PRESS, LLC
- Keywords
- Hyers-Ulam stability; quadratic functional equation; fixed point method; quadratic functional inequality; orthogonality space
- Citation
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.23, no.3, pp.544 - 552
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
- Volume
- 23
- Number
- 3
- Start Page
- 544
- End Page
- 552
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/151672
- ISSN
- 1521-1398
- Abstract
- Let X and y be vector spaces. It is shown that a mapping f : x -> y satisfies the functional equation f(x+y+z/2)+f(x-y-z/2)+f(y-x-z/2)+f(z-x-Y/2) = f (x) + f(Y)+ f (z) (0.1) if and only if f : x -> y is a quadratic mapping. Furthermore, we prove the superstability and the Hyers-Ulam stability for the quadratic functional equation (0.1) by using a direct method.
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