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- Title
Generalised Hyers-Ulam Product-Sum Stability of a Cauchy Type Additive Functional Equation.
- Authors
Rassias, Matina J.
- Abstract
In 1940 (and 1964) S.M. Ulam proposed the well-known Ulam stability problem. In 1941 D.H. Hyers solved the Hyers-Ulam problem for linear mappings. In 2008, J. M. Rassias introduced the generalised Hyers-Ulam "product-sum" stability. In this paper we introduce a Cauchy type ad- ditive functional equation and investigate the generalised Hyers-Ulam "product-sum" stability of this equation.
- Subjects
STABILITY (Mechanics); FUNCTIONAL equations; FUNCTIONAL analysis; MATHEMATICS; ULAM, Stanislaw M., 1909-1984; HYERS, D. H.; RASSIAS, J. M.
- Publication
European Journal of Pure & Applied Mathematics, 2011, Vol 4, Issue 1, p50
- ISSN
1307-5543
- Publication type
Article