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The stability of the Wigner equation on a restricted domain
- Authors
- Chmielinski, J; Jung, SM
- Issue Date
- Feb-2001
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Wigner equation; generalized orthogonality equation; orthogonality equation; Hyers-Ulam stability
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.254, no.1, pp.309 - 320
- Journal Title
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Volume
- 254
- Number
- 1
- Start Page
- 309
- End Page
- 320
- ISSN
- 0022-247X
- Abstract
- We prove the stability of the Wigner equation \[f(x)/f(y)]\ = \[x/y]\ with its approximate solutions defined by the inequality \\[(f(x)/f(y)]\ - \[x/y]\\ less than or equal to phi (x, y) which holds on a restricted domain and for a given, suitable function phi. (C) 2001 Academic Press.
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