Approximate Cauchy functional inequality in quasi-Banach spaces

DOI10.1186/1029-242X-2011-102zbMath1272.39020WikidataQ59268139 ScholiaQ59268139MaRDI QIDQ357646

Hark-Mahn Kim, Eunyoung Son

Publication date: 13 August 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

Banach spaceabelian groupgeneralized Hyers-Ulam stabilityCauchy functional inequality

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional equations for functions with more general domains and/or ranges (39B52) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (1)

Hyers-Ulam stability of Jensen functional inequality in \(p\)-Banach spaces

Cites Work

• On approximation of approximately linear mappings by linear mappings
• On stability of additive mappings
• A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings
• On the Hyers-Ulam-Rassias stability of approximately additive mappings
• Stability of a functional equation deriving from quadratic and additive functions in quasi-banach spaces
• Stability of a mixed additive and cubic functional equation in quasi-Banach spaces
• On the stability of the linear transformation in Banach spaces
• Classes of transformations and bordering transformations
• On the Stability of the Linear Functional Equation

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