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Stability of pexiderized quadratic functional equation on a set of measure zero
- Authors
- El-Fassi, I.-I.; Chahbi, A.; Kabbaj, S.; Park, C.
- Issue Date
- Dec-2015
- Publisher
- International Scientific Research Publications
- Keywords
- Pexider quadratic functional equation; Hyers-Ulam stability; first category Lebesgue measure; Baire category theorem
- Citation
- Journal of Nonlinear Science and Applications, v.9, no.6, pp 4554 - 4562
- Pages
- 9
- Indexed
- SCIE
SCOPUS
- Journal Title
- Journal of Nonlinear Science and Applications
- Volume
- 9
- Number
- 6
- Start Page
- 4554
- End Page
- 4562
- ISSN
- 2008-1898
2008-1901
- Abstract
- Let be the set of real numbers and Y a Banach space. We prove the Hyers-Ulam stability theorem when f, h : R -> Y satisfy the following Pexider quadratic inequality vertical bar vertical bar f (x + y) + f (x - y) - 2f (x) - 2h(y)vertical bar vertical bar <= epsilon, in a set Omega subset of R-2 of Lebesgue measure m(Omega) = 0.
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