Hyers-Ulam stability; additive functional inequality; generalized quasi-Banach space; additive mapping; APPROXIMATELY LINEAR MAPPINGS; NON-ARCHIMEDEAN SPACES; ASTERISK-ALGEBRAS; STABILITY; HOMOMORPHISMS; DERIVATIONS; EQUATION
Issue Date
2013-10
Publisher
Eudoxus Press LLC
Citation
Journal of computational analysis and applications, 2013, 15(6), P.1165-1175
Abstract
In this paper, we investigate the Hyers-Ulam stability of the following function inequalities parallel to af(x) + bf(y) + cf(z)parallel to <= parallel to Kf (ax + by + cz)/K parallel to (0 < vertical bar K vertical bar < vertical bar a + b + c vertical bar), parallel to af(x) + bf(y) + Kf(z)parallel to <= parallel to Kf (ax + by/K + z)parallel to (0 < K < vertical bar a + b + K vertical bar), in generalized quasi-Banach spaces.