ADDITIVE FUNCTIONAL INEQUALITIES IN GENERALIZED QUASI-BANACH SPACES

Title
ADDITIVE FUNCTIONAL INEQUALITIES IN GENERALIZED QUASI-BANACH SPACES
Authors
박춘길
Keywords
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.
URI
https://www.researchgate.net/profile/Gang_Lu10/publication/269025998_Additive_functional_inequalities_in_generalized_quasi-Banach_spaces/links/568c3d6208ae197e4268a8ca.pdfhttp://repository.hanyang.ac.kr/handle/20.500.11754/70827
ISSN
1521-1398
Appears in Collections:
COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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