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STABILITY OF A GENERALIZED JENSEN EQUATION ON RESTRICTED DOMAINS
- Authors
- Jung, S. -M.; Moslehian, M. S.; Sahoo, P. K.
- Issue Date
- Jun-2010
- Publisher
- ELEMENT
- Citation
- JOURNAL OF MATHEMATICAL INEQUALITIES, v.4, no.2, pp.191 - 206
- Journal Title
- JOURNAL OF MATHEMATICAL INEQUALITIES
- Volume
- 4
- Number
- 2
- Start Page
- 191
- End Page
- 206
- ISSN
- 1846-579X
- Abstract
- In this paper, we establish the conditional stability of the generalized Jensen functional equation f(ax + by) = ag(x) + bh(y) on various restricted domains such as inside balls, outside balls, and punctured spaces. In addition, we prove the orthogonal stability of this equation and study orthogonally generalized Jensen mappings on balls in inner product spaces.
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