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ADDITIVE FUNCTIONAL INEQUALITIES IN GENERALIZED QUASI-BANACH SPACES

Authors
Li, LexinLu, GangPark, ChoonkilShin, Dong Yun
Issue Date
Oct-2013
Publisher
EUDOXUS PRESS, LLC
Keywords
Hyers-Ulam stability; additive functional inequality; generalized quasi-Banach space; additive mapping
Citation
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.15, no.6, pp.1165 - 1175
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
Volume
15
Number
6
Start Page
1165
End Page
1175
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/161789
ISSN
1521-1398
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.
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